My WNBA Draft Question

I understand the WNBA draft is today and I have a question:

If a NCAA player who played in the men’s tourney, say a low level NBA prospect publicly defines himself as a woman is he/she eligible for the WNBA draft?

If not why not?

I imagine a player who has no chance at the NBA and looking at a regular job having a huge incentive to do so but that’s just me?