I have warm feelings towards the EU and its earlier versions - in a very short period of time it 'knitted up the ravelled sleeve' of a continent that had been tearing itself apart for centuries, and created a space where former enemies could reset and relaunch their relationships. I will always admire the European movement for that.
I also appreciate the advances in women's rights that membership of the European community jump-started in conservative societies like Ireland. We'd have been facing decades of case-by-case chipping away at the patriarchal legacy, were it not for European law.
And that also gave an impetus to repealing anti-homosexual laws.
So far, so I❤Brussels. Then along came the trans rights juggernaut..
I know not everyone goes along with this, but I think a lot of supporters of trans rights just got swept along with a general atmosphere of bonhomie - that certainly happened in Ireland, where the 'aren't-we-wonderfully-modern-and-liberal-now' mood following the emphatic victory in the Marriage Equality referendum cleared the path for 'let's do the same for those poor downtrodden transgender people, I hear they're the most marginalised in society, we can't have that here, now can we?'.
That quite possibly was the case with other captured organisations - a thoughtless acceptance of trans rights as the 'obvious' next step in liberalisation, and anyway it only affects a tiny number of marginalised men who dress as women and even go so far as to have surgery..
Two things were lurking: one is misogyny, and it's obvious that taking rights away from women appeals to the sexist men who didn't like that European law had forced them to give us so many rights in the first place.
The second was a concerted, well-organised campaign by TRAs to step in and exploit the well-meaning but ill-informed rush towards liberalisation.
This was the campaign plan:
Dentons-Report.pdf
and it worked very effectively to push policies through on the wave of good-will towards liberalisation.
In Ireland, a group called TENI Transgender Equality Network Ireland, managed to present itself as the expert body on all things trans, and was deferred to not only by politicians but also by the medical establishment as the source of reliable knowledge on trans issues. So legal and medical regulations were formed on the basis of what TENI said, not on the basis of objective/neutral/scientifically sound advice.
Some politicians etc. are beginning to realise that they were 'sold a pup' and are backtracking; but others are digging their heels in on trans issues, possibly because they can't admit they got things so very wrong.
So I agree, JeremiahBullfrog - not much active hostility towards women, but enough ill-informed euphoria about being tolerant towards sexual minorities that negative consequences for women's rights were passively overlooked.
Plus some very active hostility towards women, which has gained a lot of momentum recently - concurrent with the trans rights movement, but what exactly the links are, I don't know.