I can understand that having pronouns or nonbinary or trans characters in games can be a bit of a culture shock. As a culture we're beginning to grow more overall accepting of these people that have been here all along, but never felt comfortable to "be a seen part of society" out of fear. The same sort of thing happened, or is still happening, with homosexuality, though that's further along the acceptance curve than trans/nonbinary.
Eventually it won't be so obviously "woke garbage" that sticks out to you as something noticeable and startling, and it'll be just another feature of the game like anything else, just another NPC like any other, but that one gets called "they" instead of him or her. It takes time for it all to become normalized and not be something you raise eyebrows at and feel upset by. You may always wonder sometimes what gender someone is identifying as when it may not be obvious, but it will become easier to simply ask them, or be okay with not knowing, it's okay to not know.
I'm not going to pretend that mentally working through these things isn't a part of this whole process, but trying to somehow fight back against it by calling it all garbage and refusing to extend the hand to understand where it's all coming from is... inappropriate, we all need to get along, we all live on this planet together and the only way to make it the best it can be is to try and understand each other.
Sure, you may have a point in there about desiring a platform where people can upload any mod they like, and that could totally be a thing, Nexus Mods doesn't want that to be their thing, specifically, and whether you're okay with that or not is your perspective, and I'm okay with that, but you should try and understand why Nexus is taking that stance. Nonbinary and trans people are on the back foot, culturally, so it's clear that many places will take a stand to hard defend their representation because they're so far behind the "biological genders" and could use a helping hand.