Generation X, left wing, gender critical, anti sex stereotype (ake "gender") non Brexit-voting, marched against section 28 and for gay rights, old school feminist woman here.
I'm not at all uncommon among the women on these boards. There seems to be a lot of ignorant, assumption-laden stereotyping in your initial post, OP. And you haven't defined your terms.
Define exactly what you mean by "trans people". How you would know you are and aren't one? Define exactly what you mean by "trans rights". What are "gender critical views", do you know?
What values do you think the people of generations older than that (so Generation X and Baby Boomers who are not, believe or not, the same generation, and are also not the Wartime Generation of our grandparents & great-grandparents) who supposedly "oppose trans rights" have? And who told you that is what we believe? What evidence are you basing your conclusions on?
FWIW, I'd be 100% certain that women like me, of my political and generational background, have a far, far freer and infinitely less stereotyped approach to, say "gender roles" than the supposedly "enlightened" Millennials & Gen Zs who appear to think rigid pink and blue sex stereotypes and authoritarian enforcement of them are progressive and liberating in some way rather than being part of a movement which is actively dismantling our hard fought-for rights and taking them back over half a century, which is how I see it.
I find their views restrictive, ill-informed and backwards. I'd also suggest that my generation had stronger principles around equality, liberty, diversity and fundamental human rights than younger generations, many of whom seem either to take them for granted or are unaware of what they are in practice, what it looks like when you don't have them, and how they arose in the first place.