It's just important to note that almost all anti-trans sentiment comes from a place of white conservative grievance. "I should have won that race. I should get to control my kids."
The sports thing is a canard, a thought terminating cliche. You have cis women crying they can't possibly compete with trans women while the trans women themselves tend to suck because they're disadvantaged even compared to cis women. They have less testosterone in their system than the cis women do!