Should I just tell my teacher I was raped or take the bad grade?

Our homework for my college professor opens on Monday and is due at 11:59 on Friday. She does not accept late work. But Saturday night I went drinking with a girl I thought was my friend, got drugged and would wake up going on and out someones house. And at times I was being raped. I was finally able to completely come through and got out the window. I had dried blood on my legs. Realized it was TUESDAY and went to the hospital for a rape kit. So of course homework was not on my mind. By Thursday I emailed my professors and said I had been the victim of a crime and if I could have more time. All said yes except one BITCH! She asked what crime I was the victim of and how did that affect my school work. I said it was traumatic and I don't want to talk about it but she said before she even CONSIDERS giving me more time that I better email her over a detailed police report because she will be the judge if I could have gotten my homework done or not. I'm not trying to sound entitled but wtf? Not a single other professor asked this from me. I want to cry and self harm. Should I tell her or take the bad grade?