We have been in your position OP - our child is 17 now. It's is really difficult to find the right person to talk to - our experience has been that there is much anxiety amongst mental healthcare professionals when dealing with transgender issues, to the point where it is very difficult to have an open exploration of your child's mental health issues.
Our child had multiple mental health issues and was suicidal and anorexic. He also happened to identify as male and had gender dysphoria.
There was a tendency amongst the CAMHS councillors early on to latch onto the gender identity issues as if physical transition would make everything else fall into place. We were pushed to go on the waiting list for GIDS and, on CAMHS advice, changed our child's name and pronoun.
Things did not get any better, but discussion of any other causes of his unhappiness such as autism, or expression of fear of having your mentally vulnerable child sped down the track to transition was described as 'unhelpful'. As in this thread, we were told we needed to be 'educated'. It was actually terrifying.
Two years later, after much effort on our part, we finally got a diagnosis of autism from the Tavistock Autism Team. We now understand that our child was overwhelmed by everyday situations and terrified of change but was unable to verbalise it. The effort of masking was destroying him.
More importantly, with the diagnosis of autism we started to get appropriate support. The self-destructive behaviour has all but gone.
Our child is 17 and still uses the male pronoun, but that screaming drive to move straight to transition, encouraged by CAMHS staff, is just not there anymore. He has a boyfriend and no longer talks about gender dysphoria. He is changing, when we were told he would not and that physical transition was the only option.
We are still on the waiting list for GIDS. I do not know what the future will bring, but at least now we are being been given the breathing space for our child to grow and mature and explore how he feels. There is a bit of me regrets being pushed into making changes before he had had a proper chance to explore why he felt as he did.
I think that what I trying to say is that our children need time to grow without people pushing a certain narrative on them. I would personally run a mile from anyone who has an agenda either one way or the other. It may take you a while to find the right person.
The Tavistock Autism Team is excellent, but the queue is huge (two years just for diagnosis) and we really had to fight for counselling. Being in the same building as GIDS they are on the frontline when it comes to the the autism/gender issue, and genuinely explore the issue with an open mind (at least our counsellor did).