For the longest time the Olympics protected the XX chromosome division. Meaning contestants with XY chromosomes weren't eligible to compete in the protected XX division, but the XX were eligible to compete in the unprotected XY division.
The reason for XX protection being XY chromosome have a physiological advantage.
The Olympics should add an open division and partition strictly by chromosomes. An XX division, an XY division, and an open division.
Heck, make it policy not to comment on 'social gender constructs'.