Isn't the solution simple? People have the freedom to think themselves to be whatever they are, but for established rules, they can either choose to comply or not participate.
Just because a person identifies them as x, doesn't automatically mean other people have to be forced to accept them the same way. Just have a separate section for trans people in high school, separate for biological women etc.
The whole point of women's sports is arbitrary, and just as much as people should respect the freedom of a person to identify themselves as whatever they want to, the same people should respect the arbitrary rules of women's sports.
The issue is the people who want the world to be forced to accommodate them without consent.