The current EHRC guidance has not yet been approved by parliament under EqA 2006 s14 and is not statutory. Don't rely on it if you are an employer. It will not be taken into account in an ET or other court case.
Some of the examples, if implemented, are likely to be result in legal challenge.
Rely on the the previous guidance, which is statutory, until such time as the new guidance is approved.
There is no requirement to exclude trans woman from single sex spaces (AEA vs EHRC)
A single sex space does not become mixed sex because a transgender person is in it. (AEA vs EHRC)
"The claimant submits that if a difference of treatment can be justified vis-a-vis birth men in general, then it is inconceivable that it cannot equally be justified vis-à-vis birth men who are transsexual women. On that approach, though, the Equality Act's gender reassignment provisions would in substance provide no protection at all, in the context of an SSS, to transexual persons without a GRC. The claimant points out that what has to be justified under s.19(2)(d) is the PCP in general. So if vis-à-vis men in general it is a proportionate means of achieving a legitimate end, then the same must apply vis-à-vis birth males who are transexual women. Thus, the claimant's approach would place transsexual women without a GRC in the same position for these purposes as all other birth males. That is clearly incompatible with the tenor of the Act, which plainly sets out distinct provisions in s.19 (as applied to gender reassignment) and in Schedule 3 para. 29, which apply to the protected characteristic of gender reassignment: over and above, and separately from, those in paras. 26 and 27 of Schedule 3 relating to sex discrimination."
If a provider choses to exclude transgender people from single-sex spaces, they can, but the reason must be legitimate and proportionate and on a case by case basis (current EHRC guidance)
So, you can have rape crisis centre which includes trans women, and one which doesn't.
If you don't respect the pronouns of clients, then you can be dismissed. (Mackereth)
I'd guess you can't be forced to "state your pronouns" or include them in your emails, though that's not been tested.