TBH I'm half-surprised by how positive the response to this episode has been on places like trans Twitter.
When I was chatting to DP after the episode ended, I said I was 50/50 as to whether the online trans community would absolutely adore it, or whether they'd instead pick up on some of the hamfisted, at least 5 years out of date attempts at trans inclusion, and really take against it. I was maybe leaning towards the latter, but I was wrong — I've only seen maybe one trans activist make any criticism at all. I'm slightly surprised that the reaction seems almost universally positive, because the episode doesn't seem to fit modern discourse — there were several elements that I've seen protested elsewhere.
Things like the fact that the story suggested there was an "explanation", a reason for Rose ending up as non-binary/trans, as though there needs to be an identifiable cause (i.e. something like, having inherited Timelord energy, because Timelords are both male and female, or some kind of similar mush — "We're binary. She's not, because the Doctor's male… and female. And neither. And more."). I've definitely seen people argue that looking for or identifying possible causes of someone being trans is transphobic.
And the Meep pronoun scene was clumsy and attention-drawing in exactly the way I've heard many trans people say they don't want that kind of situation managed. Also, possibly, the confusing mashing together of an implied binary-trans character — played by a transwoman AFAIK — with suddenly starting to talk about the character's non-binaryness the moment that being non-binary is convenient to the story, as if, meh, it's all the same thing. Though perhaps some would say that of course there's nothing to say that a male, feminine-presenting person who's had surgery to appear female, has chosen a feminine name, and requests feminine pronouns can't identify as non-binary.
Whatever, the whole thing felt to me like it was exactly the kind of thing that would attract complaints that it was some old, out-of-touch, white cis gay guy's well-meaning but problematic take on something he doesn't understand.
Also, if I were trans I'm pretty sure I'd be cringing hard at the whole thing where the world is saved through the power of trans, or whatever the hell that ending was supposed to be. I'm a woman, and really dislike the feeling of being humoured and pandered to by things that misguidedly attempt to give the impression of redressing the balance of historic sexism — not by portraying us as full human beings, but by making out that women are a bit special and different from normal humans, and actually intrinsically better than men in some weird, blanket way (although not one that is actually valued), like this bit: "We know everything. Thanks. And you know nothing. It's a shame you're not a woman any more, cos she'd have understood. We've got all that power - but there is a way to get rid of it. Something a male-presenting Time Lord will never understand. Just let it go." Well, I'm a woman, and I didn't have a clue what that was all about. It's like how I cringe when people joke about how men are terrible at multitasking, or how if women ruled the world there would be no wars because we're lovely and kind and talk things through, or whatever bollocks.
Having an ASD diagnosis, I get a similar vibe from things that attempt to be inclusive in that uncomfortable, OTT way that feels like, "Let's celebrate autism, and have autistic characters who save the day through their autism, because autism is a special power that means an autistic person can do things that a normal person could never do, and that will make everyone realise that autistic people are sooper special — and because they're useful to us, that actually makes them worthwhile human beings rather than just a burden, woo, look how progressive we are" 🙄🙄🙄🙄🙄