I have to admit that being both queer and trans will always make it harder to explain yourself to people. There are certain regions that will not understand you someone who deviates from a traditional standards of gender - some people will go to extreme extends to degrade and defame anything that is different from what they know...even to the point of resulting in violence. Mind you, years ago, the chances of this happening someone was much worse than it is now. I don't think your psychologist is trying to invalidate your identity, as many ignorant people may try to be, but is merely trying to understand how you feel. If you were a bio-guy, most people still expect them to be outraged by asking them if they are feminine in anyway whatsover, so perhaps she is just making attempts to treat you how she thinks someone of your "true gender" might be expected to be treated. Things get a lot more complicated with the way type of questions you should ask someone if they are queer, because it seems to have an focus on transcending gender normativity - you have to understand this as it is the job of a gender therapist to try to understand your gender identity and guide you along your journey that you must do your best to explain it to her. Basically, what I'm saying is that there are a lot of people who don't outright associate society as being part of this huge gender spectrum and you're going to need to learn to accept that to some extent, even though, yes, it would be ideal if most people saw the world this way. Even if you do find a gender therapist who has helped mostly queer FTM transition somewhere in this world, just bear in mind that you are going to need to explain yourself to most other people in society...and I'm making this assumption because gender non-binary people (from my experience) usually don't mind not being stealth. It's better that you are able to express yourself and figure yourself out with someone who isn't supposed to judge you than feeling insecure about your gender identity around people who very well could. Honestly, if you are sure of yourself, that's what really counts.
As long as this therapist hasn't said anything outright bigoted or discriminatory towards you, I suggest you continue to give her a chance. It seems like you might be jumping to conclusions too quickly.