I'm a lesbian, and have met a lot of trans people. On a personal level, I have gotten along with most of them and it was absolutely fine.
The only one I've had an issue with was in a hobby group. I won't say the hobby as it's outing, but it's a nerdy hobby where there are lots of LGBT people. There was a trans person there, who I will call person X. He was a biological 40yo man, but identified as a woman (but very much still presented as a man). There was me, another guy, and two younger queer girls, about 18yo. The younger girls would arrange to meet up, and person X would invite themselves. That in itself felt weird, and the girls used to tell me they found it weird. Person X used to go alone to a particular club night which me and my wife also attended, and used to attach themselves to us. They then used to tell us they were a lesbian, and would talk about how hot they found us, and how they'd love to date us, as a fellow lesbian. They never actually did anything wrong, but idk, they just really gave me the ick and bad vibes. They were very 'I'm a lesbian just like you' and used to talk about girlhood a lot. I just found myself thinking, you've no idea what it means to live as a woman and experience misogyny.
Otherwise, I've been to LGBT women's groups/lesbian spaces, and I personally feel uncomfortable with trans women being there. As a lesbian, there is a lot of pressure on lesbians in particular to date and sleep with trans women. And I just don't want to 🤷 I think trans women and trans identifying lesbians deserve their own space, but I feel I am also entitled to my own safe space away from biological men.
I think it's complex and I have no issues with respecting identity/pronouns. I would advocate for trans people to have safe spaces. I don't mind gender neutral single cubicles in places like restaurants. BUT I also believe in single sex spaces for things like changing rooms etc. I also have every empathy for body dysmorphia, which must be horrible to live with, but I also don't believe I'm a bad person for thinking trans woman cannot possibly know what it is like to be a biological woman. Trans women experience prejudice, but very differently to natal women.
I also think it's wrong that thousands of women are voicing concerts about things like single sex spaces, but are being told they're wrong.