It might be worth it to look into specialists - not all psychiatrists/therapists are versed in all fields. A typical therapist may not have the knowledge to help with gender identity or anything related to what you are going through right now. Going to someone who has no idea what you're talking about will result in confusion all around, and will be of no help to you, as you have found. The key is to find someone who is knowledgable, or at least who is open to doing the research in order to help you.
Have you discussed your mental health with the doctor/s that diagnosed you? Are you officially diagnosed? Might want to start there. I would assume that a doctor who could diagnose this would be able to recommend a specialist to help with the mental aspect of things.
I have some experience with therapy, including botched therapy - the one experience that wasn't so great is sort of related to this, in that i came out as trans and instead of going to a gender therapist my mom insisted we see a regular therapist (who also happened to be hers.) Don't get me wrong, the woman was nice... but she didn't really know anything about trans or gender identity. And i sort of feel like she had more of a connection to my mom. Our family sessions where very out of control, she wasn't giving good advice to them, and overall it was not a helpful experience. We ended up stopping, and i wound up doing nothing for a few years because of how discouraged i was.
My current therapist is a specialist, and he's been great. I'm super comfortable with him and he's been nothing but helpful. Having someone who is knowledgable and experienced has made it a great experience. Even my mom likes him, and i'm pretty sure my dad does too (even if he isn't thrilled with the whole therapy thing in general). So, again, having someone who knows what they're talking about is key. And even then it may take one or two tries to find a person that you feel comfortable with. I feel as though i got lucky with him.
But don't give up just yet. Look around for a different therapist, maybe someone who is at least versed in gender or gender identity. Talk to the regular doctors about your diagnosis and ask them for recommendations.