@cookiecalachuchi,
Your post is contradictory. You go on and on about what seems to be you being interested in this girl as a possible romantic partner, and then you undo it all in the final line by claiming that you don't like her that way.
Here's an idea. If you don't want to date someone, don't ask if they like you that way. It's not exactly nice. After all, this other gal (if she is interested in you as a romantic partner) would be hurt by that, as she would naturally assume an interest on your part.
So make up your mind, and act accordingly. Interested in her for a romantic prospect, then talk to her! And, BTW, I think it's beating around the bush to ask, "Do you like me?" Don't do that. Instead, cut to the chase. "Do you want to get coffee?" Honestly, this is not a difficult sentence to utter. And if things go well, then during coffee, ask, "This was fun. Can we do it again some time soon? As a date." And see what happens.
If you are not interested in her as a romantic partner, then lay off the hugs and kisses. It's kinder that way. As for the fact that she attended an all-girls' school is immaterial. Plenty of lesbians attend coed schools while plenty of straight women attend all-girls' schools. The professor crush thing is also not dispositive - lots of people crush on authority figures and the gender (or even look) of these authority figures isn't necessarily a material detail. A lot of people are basically turned on by authority.