AN: There's nothing I've written for this one yet, so you can consider it a challenge. I'll put the main ideas here.
-There is no Naruto, instead of a son, Minato and Kushina had a daughter, Naruko.
-First ten years are pretty much the same, somewhere around year 10 Sarutobi hires a kunoichi to explain all the stuff a pre-pubescent girl needs to know.
-If he sends Kurenai, Naruko learns everything she needs to know.
-If he sends Anko, Naruko learns most of the stuff she needs to know but she also gets a bit impressed by Anko.
-Naruko is still loud, a prankster and has high goals, but she is not as loud as Naruto, not as infamous for her pranks as Naruto and her goal is to be the first female Hokage (makes for a good conflict with Tsunade later on), so basically she a little calmer Naruto.
-In the academy her only real friend is Hinata, who opened up to her and they spend a lot of time together.
This is where the main part of the story comes in, the romance.
Hinata has romantic feelings for Naruko, but this time not even she knows it. Naruko will be the first one to figure it out, but even then, it will take time for that.
Hinata does better at school and at home with her Jyuuken so she isn't as much of a disappointment in her fathers eyes.
The big part of the romance starts after the three-year trip when Hinata finally figures out her feelings for Naruko. But that also brings other problems for them, since the Hyuuga would find it 'unseemly' for two women to have a romantic relationship, and to make it worse, one of them is a clan heir.
-Naruko still has the Kyuubi, though he's not as agressive as he was in canon at that point.
-Naruko has the appearance of Naruto's Oiroke no Jutsu, but a little younger.
-When it comes to fighting, Naruko is weaker but faster than Naruto, and since she occasionally trains with Hinata, she picked up a few simple moves from the Jyuuken and modified them to work without the Byakugan (something even Gai had trouble with).
-Her chakra control is still horrible, thanks to the sheer amount of it she has, but she can still use Kage Bunshin.
If you're interested in making this feel free to send me a PM if you want to know more.