The only thing you can honestly do at this point and time is sit back and take a deep breath. Stop worrying so much about everything -- and I know that you want to, trust me. But what's the worst case scenario? Nothing happens?
Now, you're obviously experiencing some kinds of feelings for her, and time is the only thing that can aid in the process of seeing what may or may not happen.
You say you're not sexually attracted to her? That's fine for the time being, stop thinking so far ahead, love. At your current stand point, the only person that you have to worry about -- is yourself, and that's how it should be until you've completely taken a moment to yourself where you can find solitude and ask yourself the questions you're having trouble with. Then, and only then might your subconscious be able to answer them for you.
Relax. Take time. Don't skip to the future -- if there's one thing anyone is completely bad at -- it's deciphering their own future. Breathe, babe, just breathe, and don't lose too much sleep over it, remember -- it takes time to develop anything for anyone. You've got nothing to worry about until you decide, ultimately, where this is going. The choice is yours, the worry is inevitable, but unneeded.
I hope that I helped. ;D
xo steff