Replying to Broke up or Hookup

So basically, my girlfriend who i just started dating a couple weeks ago broke up with me after we had sex all night and then again all the next morning. She said as Im dropping her off she didnt want a relationship and I told her i wanted to talk to her about the same thing last night. I was just going to say all we do is hookup and its not even a real relationship.

So basically, she said she really doesnt want a relationship and she wants to go back to before we were dating. Im thinking that means just hooking up.

Its just crazy because she said all this stuff how she was gonna ask me out in the beginning and how she is so happy to call me her bf. Now I feel like i dont even know her.

So the question is should i see if she just wants to hookup with me or should i just cut her off. Granted she is cute and really cool, I just feel like it wouldnt be fair to me because i started to like her and its all on her terms.

Any idea or suggestions are appreciated.

Also send +++vibes because this shit is weighting me down thinking about it 24.7 and thats not good with finals this week.