The largest private hospital in the UK now guarantees same-sex treatment for patients. This means that if you are a woman, you are guaranteed a woman will treat you unless you authorize otherwise.
Why is this necessary? Because last year a woman in the UK was refused a surgery after she requested that only biological women care for her. The hospital took offense that she was uncomfortable with a trans-identified man and kicked her out. She fought for her rights to privacy and her surgery was re-scheduled but her condition worsened in the time between the original and re-scheduled surgery. The hospital has since apologized and she has not yet sued (but I think she should).
This new policy puts pressure on the public National Health Service to do the same. Politicians have proposed banning trans identified people from female wards but no policy has been put in place.