I have no idea what you're talking about. Like, when exactly did that happen? Most people who enjoyed the new show and dropped out did so with the Thirteenth Doctor (Whittaker). There were some episodes that made me roll my eyes (e.g. the Rosa Parks one) but personally I mostly I lost interest because of the pacing and the IMO blandness of the characters and the lack of chemistry between them (again, this is just me).

But the show was pretty much about identity for most of its first ten series, not to mention that you could say that there is an inherent aspect of transness to the character of the Doctor (especially their experience with other characters familiar with past incarnations of the Doctor). The show plays a lot with gender, especially around the timelords.

Heck, even on a purely literal textual level the show is extremely LGBTQ from the start. Captain Jack Harkness is openly bisexual (or pansexual) and flirts with the (male presenting) Doctor who is clearly intrigued. The "love triangle" subplots largely play out more as depictions of polyromantic relationships rather than sources for drama. Even without featuring any clearly trans characters, the show is fundamentally queer if you even barely scratch the surface of it.

I guess if you want to consider the show overly "woke", that started as early as when Martha Jones became a companion because her race became relevant to the plot. The only thing that changed with the newer series is that the writing IMO got sloppier.