As an extreme introvert myself, I can relate to what you're trying to say.
To me, it sounds as though you're saying that there's another person in a class of yours that seems like they might be like you. Being eager to have someone to be friends with, you're tempted to give it a try, but scared that they might push you away. I have been there many times myself! It is very scary indeed.
I don't know quite how to put it, but, here goes: I always kind of forced myself to approach those that were always alone and seemed vulnerable. I ventured to think that they might be able to relate to me and MAYBE..(gasp!)...like me. So, when it was quiet, and no one else was around, I'd approach them & say hello. [I did NOT want the option of others seeing me possibly fail!] If they replied nicely, I'd push myself a little further to come up with a question requiring more than a one or two-word response. Then I moved on to asking if they'd like to hang out sometime. {ie; Have lunch together, study for an exam, etc.}
That worked pretty well for me.
Very best wishes and hope sent your way!