thanks for the example. A sentence like this: "Some people can take medication or have surgery to change their appearance and body." without further context does indeed give the impression that it is not a difficult and long road.
On one hand, the information needs to be simplified somewhat to give a first understanding of the topic, but on the other hand, before any action is taken, more conversation and information would be absolutely necessary.
The responsibility of these decisions should lie with the medical staff. People who do not have the ability to understand the consequences of medical interventions like this cannot bear all the weight of it on their own. That means not taking them on as patients and starting a transition would be unethical.
I remember with some horror the newspieces about some doctor who did surgery on a person with autism who he knew full well did not really understand it.
The grey area inbetween, like the woman from your first post, and the example about cross-dressing, about social behaviour, are indeed much more difficult to regulate.
The "well-meaning" support staff probably has received all the politically correct training that has been going around, and is treading carefully in order to not suppress agency; I agree with that.
"I have had all kinds of safeguarding training since then, but the risks of gender identity transition have never come up as, until very recently, it’s not been publicly recognised as a risk."
From which side was it brought up? Where do you think could be a lever to make the risk more visible? I'm happy to hear that the topic at least starts to be part of training, even if it's now late in the game.
I hope someone else from the charity sector, as you asked in the OP, might join here as I am clearly not in it nor have the expertise, but I support your worry.