I am very torn on this subject.
Transgender athletes should absolutely be able to compete with the gender that they identify with. Intersex athletes should also be able to do the same.
Women cannot compete on a level playing field with people that are born male. Even if a transgender or intersex athlete is taking hormone blockers there are things that make people with male biologyphysically different that influences how they play... lung size, pelvis shape and angles of legs, limb sizes etc
I don't see a way of making it fair for both these groups of people. I don't think weight classes work... a 150lb man is typically stronger than a 150lb woman. A 150lb doesn't lose a bunch of iron every month.
I understand that one argument is that elite athletes are not normal people. They have many physical advantages already... they are taller or more flexible or have a bigger than average wingspan or lung capacity or higher natural testosterone or VO2 max. I get that.
I don't think a third category works or is fair to intersex/transgender athletes. You shouldn't have to reveal personal medical information in order to compete.
I don't see a solution to this. No matter what is decided it is going to be unfair for someone.
I think that women's sports are in danger.