OK, there's a lot to unpick here.
Firstly, I'm glad you agree that "the LGBT cause" has a lot of money and corporate and political power behind it. That's a good start. It is rather inconsistent with the "most marginalised" narrative though, isn't it? People who are marginalised generally lack money and power.
Secondly, you claim that there is "a lot more money, primarily from the States, going the other way". Could you expand on what you mean by this? What exactly is "the other way"? If "the other way" means people who want to oppress trans people, which groups who want to oppress trans people do you believe are receiving money from the States, and who exactly in the States are they receiving money from? If "the other way" means people who believe women should be entitled to some single sex spaces and sports, which women's groups do you believe are receiving money from the States, and who exactly in the States are they receiving money from? Do you think that JK Rowling, for example, who is one of the richest women in the world, is being paid by shady anti-trans groups in the States? If not JK Rowling, then who? I think you need to produce some receipts here. What exactly are you saying and where is your proof? Facts matter.
And finally, in the UK, trans people have all the same rights everyone else has, plus a whole load of extra rights no one else seems to have. The new laws in Scotland which came into force just yesterday are a good example of that. Trans people now apparently have the right to report people to the police for causing them offence. Women do not have this right. What else? Trans people have the right to use single sex spaces they believe "match their gender identity", but women do not have the right to single sex spaces. Trans women have been allowed to compete in women's sports, whereas women are no longer allowed to compete fairly, against members of their own sex only. Trans women have been allowed to serve prison sentences for violent crimes in women's prisons, whereas female prisoners apparently have no right not to be locked up with members of the opposite sex. I think it's quite clear from all the above that women's rights are going backwards. Now of course the problem is that, having granted trans people rights which conflict with women's rights, any attempt to redress that wrongdoing is going to be interpreted as their rights going backwards. But why should they have rights no one else has in the first place?