I’m not aware of any top-tier professional team sports league that says “women can’t play on the men’s team.”

Some individual sports are totally segregated, but there are no rules that say Premiere League teams or NHL teams can’t have a woman. The fact that no “mens” teams do play women says quite a bit about the level of physical separation at that top level. Even if it happens one day, and I think it will, it will be single digits per year, max, for a long, long time.

If women want to have a chance to play those sports at the top level, they need their own league.