as always on those hot controversial issues, keep debating and litigating, no violence.
in mind sports like bridge or chess, it's now usually open and women. all ambitious women or open gender people are
encouraged to go open. perhaps other sports can follow.
trans women obviously like to be treated all the same as any other woman in any issue, understandable but not practical. biology is biology. sports utmost rule is fair play. trans women just have to accept it, compete in men or open. or like everything else, wait for S&T advances. like gender hormone treatment. iaaf asked high T women athlete including the famous girl from south africa to lower its level, also very controversial. no easy solutions, wait and see.
bathroom? my guess is "normal" women jus thave to eventually accept sharing with trans. unlike men's women's have privacy. what about uncomfortable when cleaning with a trans nearby? my answer: same as with a lesbian nearby. if one accept les bian as "normal", so be trnas.