DISCLAIMER: I do not own Rosario Vampire or DC Comics.

The young Snow Fairy Mizore Shirayuki sat quietly on the snow. The short skirt she was wearing meant that her thighs were pressed directly on the freezing cold snow she sat on, and her bare feet meant her toes were buried in the snow, but she felt no discomfort from it at all. On the contrary, she liked it. She also had her usual lollipop in her mouth, and was enjoying the cooling feeling it was giving her as it was also a coolant. She held up a notebook where she had written some quick notes.
"Tsukune and Moka should be in this area here. If they thought they could evade me in a place filled with snow they're just asking to get jumped."

Mizore blushed slightly as she thought about her plans to try to charm Tsukune. She had spotted Kurumu following Moka and Tsukune as well, but in a place as cold as these mountains encasing the young succubus in a cocoon of ice had been so easy Mizore had frozen Kurumu completely before the succubus had even known she was there.
"That means the milk cow is out of the way. And Yukari wasn't able to find them. That only leaves Moka."

Tsukune and Moka sat in their seats at the base of the mountain, having gone skiing earlier. Moka suddenly sank her teeth into Tsukune's neck, but then they both jumped as a deep female voice rang out.
"Drinking your boyfriend's blood? Charming…"
Moka started to turn to face this woman, but a blast of cold air swept over her and Tsukune, instantly freezing them into a block of ice.

Mizore felt a chill in the air from the base of the mountain as she descended the mountain. She stuck out her tongue and tasted the cold. It felt good due to its cold but tasted fairly bland. There was no magic or depth in it. She also realised quickly that it was coming from the same place where Tsukune and Moka would be by this time. She quickly used her ice projection to create an ice snowboard, standing on it and riding at high speed down the mountain.

Louise Lincoln tapped the fingernail of her right index finger on the solid surface of the ice that encased the young couple.
"Like two popsicles. Probably just saved that guy from being eaten by his girlfriend come to think of it… Oh well."
She held up the bag of money she had stolen from a bank and started fishing through it, ascertaining that she had enough to buy her way into another area if need be. She had been hiding in a cave on the mountain for the last few days, having been comfortable in the cold. She was only at the base of the mountain because she was heading to town to buy some food. However, she hadn't expected to find anyone around, and thus hadn't changed out of her Killer Frost costume.

Louise started to head to town, knowing that the coming snow would soon cover the young couple and bury them under several feet of snow as they were in a low dip. She had briefly wondered how to dispose of them, but the reality was that the snow would do it for her, and by the time the snow was gone and the couple were found, Louise would be long gone.

Just as Louise was starting to leave, a shard of ice flew at her face, forcing her to crouch to avoid it. She looked up to see a young girl with bluish silvery hair, dressed in a short white robe with a chequered school skirt under it. The base of the robe had actually hooked the hem of the skirt and this meant both were as high as her hips, leaving the entire length of her legs and also her blue and white underwear exposed. Louise briefly wondered why the girl made such an effort to dress so scantily, but soon realised that it was just the opposite. She noticed that the girl's left sleave was rolled up while the right one wasn't. This girl wasn't trying to attract attention. She dressed however she wanted and didn't care how it looked.

Louise pieced this together from the way the girl dressed, acted and moved. However, more importantly the way she dressed was quite the opposite of protective from the cold. With only one layer which didn't even cover her legs and the only things over her hips being a skirt and a pair of underwear, along with not even having any shoes on, this girl should have been practically passed out from cold and in terrible pain from frostbite. She then considered the fact that the girl clearly felt most comfortable in ice colours, as she was dressed almost completely in white and blue from the colour of the robe she had put on in place of what Louise guessed was a school uniform to the colour of her underwear and even the colour of her hair. Even the lollipop in her mouth was that colour.

This information combined with the ice blade to tell Louise that this girl had ice abilities like her own rather than simply wielding an ice weapon. Louise noticed these things because they were true of her as well. She too preferred low temperatures and felt most comfortable in ice colours. She knew this was because of the psychosomatic effect of those colours which made people feel slightly colder. Harleen Quinzell had explained it to her once. She had to admit Harley had given her a better understanding of how people think.

Louise snapped back to the present as the girl removed the lollipop from her mouth and said, "What do you think you're doing freezing Tsukune? No one gets to freeze him solid except me."
Louise chuckled. "Yeah, there's nothing creepy about that…"
Mizore pointed at Louise. "What's that supposed to mean? He doesn't mind when I freeze him because he knows I do it with love."
Louise spun her finger around her ear as if stirring a cup, giving the joke sign for someone who's insane.
"Whoop, whoop, whoop… Cuckoo…"

Mizore widened her eyes, suddenly firing a string of ice shards at Louise, which Louise blocked with ice projectiles of her own. Killer Frost then rapidly lowered the temperature drastically, causing the air to drop to temperatures which could freeze any human to death in a few minutes. Mizore continued firing ice shards, completely unaffected by the temperature. Killer Frost dodged each of these blows in turn, firing ice shards back only for Mizore to easily deflect them with ice claws which grew from her hands. Mizore then suddenly fired a barrage of ice at Louise, the ice encasing her completely, only for the ice to fall apart and Louise to step out unharmed.
"You don't beat Killer Frost with ice. Not gonna happen."
Mizore leaned forward, glaring at Louise with fresh vigour.
"Well if you think Mizore Shirayuki gives up that easily you've got another thing coming!"
Mizore charged, slashing at Louise with her claws. Louise gave ground against Mizore and fired a burst of cold at her, trying to freeze her over like the other two. The burst of cold enveloped Mizore but failed to slow her down, and she jumped out of the blast of ice, grabbing Killer Frost with her hands and slamming her frozen right fist into Louise's face. Louise punched Mizore in the chest, driving the wind from her lungs, then followed up with a punch to the face which knocked Mizore back.

Louise rapidly scrambled to her feet, but Mizore had already recovered, and before Louise could fight back Mizore had slashed her across the stomach with her ice claws, leaving Louise bleeding badly from four deep cuts. Louise rapidly froze the wounds and instantly stopped the bleeding, but Mizore's foot slammed into her face, knocking her onto her back. Mizore then leaped on top of Louise and punched her with the ice claws, instantly rendering Louise unconscious with several terrible gashes in her face. Mizore stood up, standing over Louise for a few seconds to verify she was no longer a threat. Satisfied, Mizore turned back to the frozen Tsukune and Moka, rapidly cutting the ice they were frozen in into two pieces, with Tsukune in one and Moka in the other. Mizore then gripped the frozen Tsukune and dragged him off towards the mountains where she would defrost him and enjoy her somewhat misappropriated, but she felt rightly earned, date.

As she started to head off, she turned back to the frozen Moka and sighed, rapidly pushing the block of ice out of the dip and down the small hill, placing a smooth ice surface under it so it would slide. She knew Moka would end up close to the ground, and would defrost in only a few hours.
"Pretty nice of me to help her out like this when she rivals me for Tsukune's affections. But she's still a friend."
Mizore then rapidly headed to the place she wanted to take Tsukune to, knowing Moka and Kurumu would both be defrosted in the next few hours and would no doubt interrupt them, but she knew those few hours was plenty of time.
"Let's see the blood sucker and the milk cow stop me now."

Analysis:

While these two are similar seeing as they both use cold-based attacks, and similar in certain other ways as shown by the way both of them dress in ice colours, really the two each have advantages. While Killer Frost's ice attacks can get colder, her ice works by draining the heat from the area, making for something very dangerous normally, but against Mizore who is comfortable running on snow barefooted and snowboarding in little more than her underwear, and also literally freezes hot springs by getting into them and likes that temperature, Mizore has a very good tolerance to cold and is thus basically immune to Killer Frost's ice. By the same token Louise is immune to Mizore's which means that ice attacks won't decide their fight.

This brings us to other abilities. Louise is a more skilled and experienced fighter, and has a far deadlier personality, but Mizore possesses every physical advantage. She is stronger physically, she is faster seeing as she can fight Kurumu, and she also has excellent reaction speed as she once froze a charging Kokoa before Kokoa could reach her. She is also more durable as she can get in physical fist fights with Kurumu who can lift Tsukune and Yukari at once and she can physically hurt Kurumu who had no long-term injuries after Inner Moka kicked her into the ground hard enough to gouge a crater the size of half a car, or through three large trees in the anime. She also took a very similar kick from Inner Moka and handled it about the same as Kurumu. To put it simply, both are virtually immune to each other's ice attacks, so Mizore wins due to having superhuman abilities besides her ice powers.