AN: This is my very first fanfic ever, so please don't be too harsh.
Hermione Granger was in muggle London about a year after the Final Battle. The first few months she had lived in the Burrow with the Weasleys but she had gotten so bored and restless, so she had decided to move out. But whenever she was in an area with wizards and witches they stared at her, pointed at her and sometimes even came over to talk to her. She hated all the attention and so she had decided to go work in a muggle library, since she had always adored books.
It was a rather sunny day and Hermione had taken the day off. She sat on a bench in the middle of London and looked at the people who passed by. There were tourists with maps, men in suits on their way to work, children running around, all kinds of people. She could just sit there for hours, enjoying the sunlight and the simply blending in with the people around her.
"Hello.'' someone said besides her. Hermione nearly jumped at the voice, she hadn't seen anyone sitting down.
"Good afternoon.'' she replied after looking at her right.
"I'm the Doctor, who are you?" he asked.
''I'm sorry, Doctor Who?'' She raised an eyebrow at him. ''Oh, I'm Hermione, Hermione Granger.'' She quickly added.
"Just the Doctor" he answered with a grin on his face.
"Just… the doctor?" Hermione repeated slowly. "What kind of doctor are you then?"
"Well a Doctor of anything really" he said with another big smile on his face.
''Anything? So you can help people with physical diseases but you can also do heart surgeries? That's impossible.'' She said. She knew since she wanted to work in a muggle hospital for a while now. Unfortunately she had to study for a long time and she didn't knew the basic things that she needed to know. The things that muggles were taught in high school. But since she went to Hogwarts, she missed all that information.
"Well... Yeah... But I prefer much much bigger things, more exciting, more dangerous things" he said.
She looked at him in a mixture of horror, amazement and confusion. "What could there possibly be more to do then healing people as a doctor?" she asked. He now definitely had her attention.
"Well, Hermione", he said her name slowly, making sure he said it right. "I could show you, if you're up to it"
"I'm not so sure that's a good idea. I don't know if you noticed but we don't even know each other." she said. She really wanted to know what he did do, but she was smart enough not to just trust any man. So she kept looking around searching for other people, just in case. That's when she noticed the blue police box behind their bench that surely hadn't been there before. "Where did that come from?" she asked.
"Ooow" he smiled. "Very good Miss Granger, very good! Most people don't notice it right away. That – that is a telephone box."
"Yes, I can read! But what is it doing in the middle of London? These things disappeared ages ago!" she said in a matter of fact way.
He looked at her with curiosity. "Why don't you come and see?" I stood up and walked to the police box. When he was standing in front of it he snapped his fingers and the doors opened.
Hermione, not being impressed by the opening doors, stood up too and slowly walked to police box.
"Well, come on then, off we go!" the Doctor said in his overly excited way. He jumped inside the police box, took a few steps and turned around to watch Hermione's expression.
Hermione stepped inside and looked around. She was amazed, that's for sure, but not for the reason the Doctor expected her to be.
"What an amazing use of the Undetectable Extension Charm" she almost cried out. "But I don't get it… What is all of this?"
"Wait, what?" the Doctor looked confused. "No 'it's bigger on the inside'? I love that part! And what on earth is an Undetectable Extension Charm?" he was looking more and more confused as he said the words.
Hermione turned around. "Wait so you're not a wizard then?"
"A wizard? A WIZARD!" the Doctor started laughing. "No of course not, such nonsense doesn't exist! Not in any of the universes I have been to! A wizard…" he chuckled some more and walked to the centre of the police box.
"This, my dear Hermione, is the TARDIS. Time And Relative Dimension In Space. It's a space ship" he said with his big grin back on his face. "So where do you wanna go? Past, future, different planet, different galaxy..?"
"Wow, wow, hold on a second! If you are not a wizard… then what are you?" Hermione had never felt this confused in her life before, and that confusion was now very visible on her face.
"What's with you and wizards, huh? No, I'm not. I'm a Timelord from the planet Gallifrey. And you, my little human, look very confused." The Doctor was glowing, he eventually did have that moment, that one thing he liked the most about letting new people into the TARDIS: the confusion.
"I'll inform you that wizards are very real!" Hermione exclaimed and immediately recognised her mistake. She gasped and covered her mouth with her hands. She wasn't supposed to talk about the wizard World to non-wizards. Only then she realised what the Doctor just said. "And what did you mean by 'human'? You said you're a Time – Lord..? What does that even mean?"
"Woah, woah, okay one at a time Ok? Yes I am a Timelord, no I'm not human and yes, that makes me alien" the Doctor said, trying to maintain calm. He had never heard of such a thing as wizards being real. But could it be? Right under his nose, right on the planet he had spent so much time on? "That being settled, tell me about you, are you really a wizard?"
"Technically I'm a Witch" Hermione said in her usual pedantic way. "And I'm actually not supposed to be talking about this to non-magical beings… but given you're an alien… well… it's too late now anyway"
The Doctor stared at her for a couple minutes before being able to say something and all that could come out of his mouth was "Wow, just wow"
Hermione felt his confusion and to be honest, she didn't completely understand everything herself. "I know" she said, "it's a lot to take in, isn't it?"
"It sure is!" said the Doctor. "But tell me, you said something about a spell that can do all of this too? I want to hear all about that!"