Girl problem. How do I approach this?

Hmm to me it seems like she's testing you. She might be waiting for you to make the first move. Not that it matters all that much but I'm also a girl and we tend to do that. She might also be unsure of your feelings so that's why she's not being straight forward about it. To me, her mentioning the kissing thing is definitely a hint. I have more guy friends than girl friends and I would never bring that up. I'd be too scared that they'd take it the wrong way and think I liked them.

No other girl has made you feel like this so you should definitely go for it. If you don't and she finds someone else then you'll probably regret it.
Hope this helps and good luck!