I think you fail to appreciate how much more dangerous it would be for any female to play sports at all. If highschool males can beat professional females in soccer, the idea that highschool females would even want to compete & risk getting slide tackled is kinda ridiculous. I was once bicycle kicked in the face when diving to head the ball. If I was almost half my weight & female it would have probably been way worse, might have broken my neck. And what you are describing sounds like you don't want anyone to keep score either... "just let people play because they love it." It sounds like you live in some sort of fantasy world. There is nothing wrong with competition (which is kinda the point) or with enjoying the competition so long as it is SANE & HEALTHY & generally fair.
Segregating out the trans faggots & giving them their own league would make more sense. But then they wouldn't have anyone but each other to try to take advantage of & there'd be no established system to benefit from so they almost certainly wouldn't want that. Maybe put them in with the special olympics people. Competing against other retarded men actually seems like the correct placement.