First of all, if this was a cold online approach then I think it has the potential to be a decent opener. But you already know this girl in person, so I would have gone a different direction.
Here's where you pretty much blew it:
-You DLV'd yourself by saying you're "sick". Maybe not a huge deal, but if thoughts of you with your head in a toilet pop into her head you're gonna lose value.
-You use the word "date" which automatically gives it away that you're romantically interested in her and she's already won you over.
-You bragging about dating a few girls over the summer makes you come off as try hard. Girls have a 6th sense for this.
-There's no playful teasing or push/pull. It's just you giving her IOI after IOI after IOI.
Now, all that being said, she did answer your qualification question, which can be interpreted as a good sign. The problem is she gave one-word answers and half of them are either genuine IODs or shit tests.
There's A LOT of damage that's been done. But it's all fixable
Here's what I suggest: Freeze her out for TWO weeks. Don't message her...don't even talk to her in class unless she initiates it. If she says hi then smile and confidently say Hey back, but that's it. If she asks how you are then confidently smile and say "Really good, thanks" and don't ask her back. Don't give off an asshole vibe though, say it genuinely and confidently. When you're in class or in her presence make sure you're appearance is super confident...like your life is awesome right now. If possible, strike up some playful convos with other girls in class to try and create some jealousy plotlines.
The point of all this is to undo her thoughts that you are romantically interested in her...or at least make her think twice that she's won you over. Time is the greatest weapon we have when it comes to fixing our screw ups with women. The worse you screw up the longer you have to freeze her out.
So to summarize: during the freeze out period, act chill and confident...don't make it seem like her IOD's have affected you at all. Make her think she's just another one of those girls who you decided was "uninteresting"
V