I am so sorry.
It is unfortunately very heavily male biased, not the least in the sheer amount of space and consideration given to the needs of those with trans identities while women's needs and consideration are hand waved away with little examination and certainly not impartiality. (Dismissed in part because the women who spoke for women were too biased for women and not 'objective' - a standard not equally applied anywhere else to anyone else.) It doesn't look good and would be another thing to raise in an appeal.
Pulling out the old (old, old) chestnuts from 6 or so years back when it was suggested that single sex alternatives could be provided to women on a discretionary basis who disclosed trauma based needs:
Who does the woman disclose this incredibly sensitive information to, and what training have they had in it?
Where will they disclose this?
How will this very sensitive data be recorded and stored?
If a woman has had to disclose and go through some highly distressing re telling of events, what resources and actions will be taken by this listening member of staff to support and pick up the pieces afterwards?
I'll assume obviously it will not be a case of someone subjectively deciding what was 'bad enough' to justify single sex facilities.
A manager and HR would look at this and flinch, it's a recipe for disaster, and that's before you start on anticipatory duty to see problems coming and provide accessibility rather than pick up the pieces when it's all gone wrong, AND the indirect discrimination of putting a woman in the position of doing this.
To those who don't see an issue here: simply swap the disclosure, because the judge talks about employers 'needing to know' for both women and people with trans identities. Is it right and ok to require someone to disclose to their employer that they are trans, what their history is, the degree of their transition and have someone make a decision on whether it's sufficient to justify using single sex spaces (if a woman or women do not raise their article 8 rights?)
Of course it isn't, the same issues apply whether it's a woman or someone of either sex with a trans identity, it's beyond 'outing' and into actively traumatising.