Don't just compliment her appearance. Compliment her intellect or personality and maybe laugh at some of her jokes. Recommend a book that you might have in common. And for god's sake, don't be one of those guys that think teasing a girl makes her like you. Other than that I don't have much advice to give because I'm not exactly a lady's man myself.
I like this girl but she thinks I'm a guy who will use her for her body but I'm not. How do I get her to trust me?
By showing her that you wll be her friend.
Tell her you are not "bi."--(-Might get a laugh.)
(Oh, I do so miss the difficulties of interacting as very young adults---not)
Nowadays you really don't. When it comes to a girl like that, I don't worry about them, and just stay friends. A lot of girls will say that to really decent guys. Just stay friends. If you do flirt with her, do it without touching her.
Show her you care. Get to know her, and if you don't like her personality, then don't get together with her.