You advocate to force the OPs girl to accept males in
▪︎ her shower area
▪︎ her changing room and
▪︎ her toilet block
You said
"The fact that it was even allowed and culturally supported for any length of time warms my heart."
You also claimed
"There are some awful people in the world. I believe I would be able to spot a bad faith attempt at transition. "
This ^ is the theory the OPs childs school is trying to upsell to the OP and the OPs child (and society as a whole).
The management claim they will risk assess each male before enforcing the decision of forcing the OPs child to participate in their qualifying males wants.
Therefore:
How exactly can you claim you are able to spot the sex offender 100% of the time?
And if it is not 100% of the time and 100% correct whats your number?
How may girls can be subjected to avoidable sexual offending to warm your heart?