Mentally, she or he should be able to compete with men or women.I think that is up to Jeopardy to decide, not you.
Physically, I’m only okay with men who were formerly women competing with men not the other way around. It’s not fair to real women.
Bruce Jenner is an Olympic men gold metal winner. Should he be able to compete with women? Of course not.
Bruce now plays from the ladies tees. I want to identify as a women but only when I golf.