See, I liked blackie's approach. It may not have worked, but the tentative approach didn't work either, so you may as well take the rejection while you are acting assertive and attractive, and thereby make her question herself, rather than have her thinking Yep I don't want any part of that....when she perceives you as being weak or placating.
Snook, fwiw, I think she was waiting to see if you'd kick it up a notch. Steal her away, all that romance novel jazz.
Now, take what I say with a grain of salt because I am a dyed in the wool HD woman. However, the look she gave you clearly illustrated that she was intrigued by what you said, and so it wasn't that she was just flat out uninterested and stalling.