You don't need to feel something special to go out with someone. Go out with her and try to have fun: you don't have to "score" or anything, just meet her and see if you like spending time with her.
Besides, I doubt she's "madly in love" with you, since as far as I understand you don't know each other so much. She may find you attractive and interesting, but falling in love usually involves knowing the other a little bit more. So, try not to feel too much under pressure: it's just a date, and however badly things go you will just spend some time with a girl you don't like. But you may find that you like her, maybe just as a friend (or maybe more, who knows?), so it's worth trying, isn't it?
Cairos
Just go on the date, dude. You're not marrying her.
Who knows? You might learn something new.