I can understand where you're coming from, but what is the worst that can happen? She might say no, that's it. Think of all the positive things that can come of it though, those surely outweigh the negative.
My advice? Make a desert, some cookies, wheat fudge or something like that and bring them to school with you. Take a seat next to her, introduce yourself (if you haven't already) tell her you made the desert, offer her some and then simply start talking. Like I said, most women like a man with confidence and they also like a man who can cook and take care of himself. I'm sure she'll get the hint that you like her (if she hasn't already) and if things don't work out and she tells you she isn't interested, well, at least you have some cookies.