Asking her for coffee or to see a movie, doesn’t necessarily put you out there. You could be asking her as a friend. But like ishotthesheriff said, just stop playing games. If she likes your then good if not, well we can’t win them all.
tell her to join you and your friends + her close friends to a movie at your house sit next to her but don’t put your arm around her just wait till she is comfortable with you
If you don’t want to put yourself out there, i would agree to first become comfortable with her and allow her to get to know that you are not just after her for certain reasons and you are a good guy.
Then it will be easier to begin telling her how you feel.
For example, once she is comfortable with you and she is sad about a guy or if someone said a bad comment about her tell her that she’s beautiful and not to worry because she is probably the best girl there is.(but only if that is how you truly feel)