It’s not censorship when private groups are doing it. Moreso, I think the entire world has figured out the right answer to the Paradox of Tolerance is intolerance (yes, even censorship).
There are two reasons said censorship is okay.
Those who hold to these extreme beliefs are happy to censor the opposing viewpoint whether we censor them or not. They see the idea of trans human rights as unworthy of protection.
So long as you allow a false belief to spread, there will always be adherents. When it is a harmful belief, that makes even innocent-seeming propagation of that belief genuinely harmful… which by every moral tradition (and most legal ones) is sufficient to override freedom of speech.
Remember, there is no free speech absolutism where all speech is protected. Anyone who claims otherwise is lying or ignorant. What we’re arguing about is whether to draw the line at malicious behavior that is already more harmful than speech many of us are already against.
And from your “don’t want stupid pronouns in my game”, you show you’ve fallen for bullet point #2.