Well, I was kinda dancing around saying this part out loud until now because it could have been a touchy subject...
but.... I think this show is extremely well equipped to deal with trans oppression, because it kinda already is. One of it's central themes right from the very first episode is a pretty cutting critique of religion, with the TVA filling the role of the church. Specifically, in addition to all the fate stuff, one of the themes is about how the church can be a barrier to people being their authentic selves. It is specifically targeting dogmatic, fundamentalist belief that dictates your actions and beliefs, thinks a higher power has a plan for everything, and can dictate right or wrong actions. This can make people with good intent do some pretty awful things, because they believe it is working towards an ideal eternal reward and 'the plan'. "No one bad is ever truly bad and no one good is ever truly good." and all that. The TVA genuinely believe themselves to be a force for good, and have placed themselves in a position of authority to achieve that end. The people in the rank and file are, I am sure, not bad people, they believe they are working towards a beautiful end goal that they find comforting, and truly believe is for the good of the universe. The TVA believes, because of what they've been told by the Time Keepers, (God, which may not even exist, or at least not in the way they think) that preserving the sacred timeline (and of course the use of the word 'sacred' is no accident) is more important than
anything else, they are creating their eternal reward by doing so, and feel like they are doing something good because from their view, it will benefit everyone. Their determination of right and wrong is all skewed towards that end, and they end up punishing people for neutral or good actions. Like, saving a person's life could get you hauled in. If Sylvie and Loki had succeeded in launching the ark that would have broken the timeline, and they would have been arrested.
For saving thousands if not millions of lives. Or just living your life as your authentic self, in Sylvie's case. From the TVA's perspective, they are not arresting Sylvie 'for wanting to be a girl', they are arresting her because they believe that does not fit their 'sacred timeline' and thus must be stamped out, for the good of the universe. From their perspective, they are the good guys, even though from outside, this seems like an evil act. And of course Sylvie won't see it as a good thing.
And I think Disney+ has a lot more freedom to deal with these subjects, because they don't have to worry about selling tickets to individual movies/shows, they are selling subscriptions, so foreign markets lose a LOT of their power wen it comes to dictating content. Disney can say to them, that they can just choose to not carry a particular show/movie and Disney doesn't lose much in that scenario, becuase people will still probably find something that makes them want to subscribe. Like Disney didn't back down about Out at all when
Russia got all mad about it. From what I can tell, they just ignored it. It's still there on the service in North America and Europe, though it may not appear on the Russian version specifically when that launches. It will be sad if China and/or Russia blocks the release of Loki in their particular versions of the service, but they don't have the power to do more than that, unlike with the movies where the ticket sales can cause Disney to capitulate to such demands more easily. (and China
already bans depictions of time travel, so Loki was fucked there from the beginning, even ignoring all the LGBTQ themes)
As for the fluid thing... I mean, if they are using the comics as a basis, then Loki is fluid..... but leans quite heavily towards male most of the time. I have said this about the comics depiction as well, but I think it would be a mistake to have Loki begin to shift genders more often, or go by neutral pronouns etc. because that ignores the fact that, particularly for something like this, where there is a spectrum and lots of different ways to be genderfluid, by going for a depiction that's kinda in the middle, more of a 50/50 split, it's invalidating people who are more on the edges of the spectrum, like Loki is. They deserve representation too. Just saying, they are in a bit of a delicate situation here, because there are lots of ways to be genderfluid, and that includes people like Loki who are one gender like 90% of the time, and seems to prefer male pronouns except when specifically in female form, and he's not 'doing it wrong' or 'not being fluiid enough' because of that, and people that argue that are devaluing the experiences of people who are more like Loki in terms of how they view things in terms of gender.
Like yeah, i get that for it to really count it has to be shown on screen at some point, like it has been in the comics, and kind of related, this is also why i am still frustrated they haven't given him a canon boyfriend yet in the comics, it kinda needs to show at least one for it to really 'count' even though lots of bi/pan people in real life do only have the experience of dating the opposite gender, and they are still valid, but fiction... kinda needs something to happen for it to count. Just saying, if they are going to be true to the depiction in the comics, then they can't just have Loki begin flipping genders essentially at random, because that's not how it is in the comics, it has to be a bit more nuanced.