I agree with Ezo and would only add that frequently it's best not to directly complement a woman's looks, especially if you are new at Game. Depending on how you deliver the complement, it can easily come off as needy. It's also something any attractive woman hears all the time, and so you've failed to distinguish yourself from the other wannabes that praise her all day long.
I always liked the Mystery/Style approach on this. E.g.
Quote:
You know, you are a very pretty girl, but beauty is common… so you got lucky in the gene pool. What counts is a woman with an adventurous personality… energy, great energy and a mischievous streak. And what you make of yourself.
Another variation is, "so aside from looks, tell me three qualities you have that make you special." Here you're telling her that, yes, she's good looking, but you are selective and that alone is not enough. It also forces her to qualify herself to you. If she does so, that's a very good sign. This also opens up possible topics of conversation. If she says she's adventurous you can follow with "what's the most adventurous thing you've ever done." Note: you better be ready to get this question right back and have a good answer.
Anyway, I hope that gets you thinking about ways to improve the overall interaction. Good luck
-Zen