Most Helpful Girl
No. You are not being a jerk. You guys are not a match, at least not now anyway. She is very depressed right now and should seek help. Maybe a relationship isn't for her right now. On the other hand, you need to have fun and do the things that 21 year olds do. You're a pretty good bf to invite her a long to play basketball, because you were actually helping her in a sense. So sweet. But yes, tell her how you feel, see if she feels the same, if so then maybe you guys should just call the whole thing off or go on a break.
Good Luck. :)