I have a response. 40 people signed my letter. This is what she said
Dear all
Thank you for your email. Yes, I see what you mean and I am sorry that you feel uncomfortable around transwomen. Unfortunately I still do not agree with you.
I mean gender-segregated spaces, not sex-segregated spaces. I am not happy to segregate transwomen from women's only spaces. That is not what the Equality Act is about.
Of course, I can only say what I myself am comfortable with and what I give consent for. I would never force you into sharing a changing room with someone you did not wish to share with.
I would like to suggest to you in practice that most transwomen who have not had gender reassignment surgery do not want to share space with other women and opt for single rooms and cubicles. I can quote an example that I know of: a transwoman in hospital with terminal illness was placed on a women's ward but in one of the two single rooms.
You quote two examples: youth hostels and swimming pools. Most now provide a variety of provision that include single cubicles and rooms. I can only suggest that if the ones you use do not then we press for that provision to be made as soon as possible, because at present transwomen can legally enter gender-segregated spaces and without changes to the Equality Act they will continue to be able to do so.
In that way, you and your daughters will be able to opt for single cubicles/bedrooms if that is your wish. In fact, you should be allowed to do if anyone in that space makes you uncomfortable. I suggest that if that is the case, then you should approach the staff of the institution you are in and ask to be removed from the situation for your own comfort.
I hope this practical advice assists you.