I don't know the laws in Cali, but
1. Caitlyn should definitely go to a women's jail/prison.
2. Considering that the charge she may get is misdemeanor manslaughter, she may not have to go to either.
Oh come on. It's a shitty situation, but what probably happened was that she got distracted by something else.
It's the birth gender that counts so she would be sent to a male prison