The best thing would be to get rid of the defamatory expressions "men's" or "womens". No more mens and womens tennis, golf, football rowing running quotas preferences etc. etc. what a great world we could have.
p.s. I have to agree with Sir Tim. I have seen all of the conditions he described, plus a few more. Having done thyroid function tests on young still living at home female workmates in the 60's it could be embarrassing at the time.