The other important thing to remember is that trans women are women. You have got to include all women if you possibly can.
Genuinely, why?
From first principles, what are the defining characteristics of and differences between men and women in the mixed sex, gender identity meaning of the words that give rise to a need for separate men's and women's sports?
"Because historically they've always been split" is not a valid answer by the way, because historically men and women were single sex groups and the reason for splitting was the body differences.
But that's not the case for gender identity groups. So what aspect of gender identity also requires this split?