And you'll probably not have any other advice than that, unless you actually wish her to go away. To get close to her, you have to... well... get glose to her.
Remember that she's a human being
just like you and she doesn't have superpowers or more rights than you have. Besides, at this point you guys are two absolute normal individuals to each other, so there's no chickening to do, she's not a godess !
(moreover, don't hesitate to speak up your mind when you don't agree with her. It's more interesting to talk to a guy who has a point than a guy who always agrees "to not annoy her".)
Once you get across this step, things will get much smoother.
Of course, if this is also what you keep telling yourself... you know the problem, you know the solution... the next steps are up to you.