First off, kudos for not kissing her while you were drinking. Seriously. You're awesome if you like her but won't kiss her while she's drunk, because she's not really thinking.
The most you can do at this point in time, is tell her how you feel. There's a chance, although she's interested in someone else that she could be interested in you too. Offer to take her out to dinner, or a movie. It couldn't hurt.
The best kind of relationships are the ones that start with friendship. Because you know more about the other person. Their likes, dislikes, feelings about things, possibly hopes, dreams. All kinds of things. You really just need to talk to her about everything. Get everything out in the open. I hope everything works out for you.
If you need anything else, feel free to drop me a message.