I think i love her, help?!!?

Before I start, you must know that I am 16, and the girl I am talking about is 13. I don't care what any of you trolls say about how I'm a paedophile and all sorts which you'll probably say, I'm looking for a serious answer. All relevant answers welcome.

Back in June, I started talking to a girl who went my secondary school. It began we were just friends, but as we started talking more and got to know each other better, we both realised we liked one another. Now, I know she is young, but age is just a number, and we both like each other, so isn't that all that matters?

We kissed one of the times we were together, and this carried on happening everytime we met. Things were going good, but then all of a sudden she says that she wants to stop because she doesn't feel rigjt doing it, which fair enough I agrees to, but we didn't stick to our word, and it has happened everytime I've seen her. We're really close friends, i see her almost everyday, we can talk about absolutely anything to each other, we seem perfect for each other, but she keeps telling me she doesn't want a relationship, but I keep telling her that we're acting like we are already, so what would actually getting into a relationship change?

She tells me she is confused about it all, but I just can't see her point of view, and she can't see mine.

This question is completely feeling based, so please don't change the question and tell me not to have sex with her, because I'm fully aware of the consequences.

Someone help me, are we right for each other? Should we be together? Thank you!