It's possible you're just a game to her "He SAYS he likes XYZ, but does he really?" If you take her up on her offer, you may discredit yourself. Then again, you can always say, she thought she could convert me so I gave her a chance, but she failed
She may just see you as a challenge or an experiment, or, she could be genuinely interested too, but from what you said, I think she's just looking to score or simply testing you.