Hi Auroramanianna,
It is often so difficult when we rely on others for acceptance or support. I'm not sure of your age, but certainly once we have our independence, things are somewhat easier. However, in saying that, we often trade off independence for 'dependence', in the case of you mother and father. What I mean is others become dependent on us for love, support and care.
I think the first thing to think about is your 'independence'. I mean I'm sure your not too young, in fact you've made a decision to be yourself, which is fantastic. So sometimes we need to stand up and speak to those around us about what is working in our lives, and what isn't. This is so easy to say especially when we're dependent on someone else.
I once worked in dissability care with children so I'm aware of Aspergers. I'm also aware of the scope of expertise with Psychologists in this space. It is a specialist area, and so is the area of gender Dysphoria. Remember the therapist giving the diagnosis is most likely not experienced in gender diagnosis, however very experienced in Aspergers diagnosis. I also know that I can't think of too many correlations between the two diagnosis so I'm a bit lost how they came to that.
I wouldn't say they will never come around. In the end they have a choice, as do you right now. Your choice is whether you transition now, or later in life. I have no advice for when is better. But at the moment you have your parents who seem to have some level of influence in your life. Only you know whether that's the right level of influence or not. But rest assured, when they have no influence in your life, and they risk losing their daughter for ever, they may seriously rethink their attitude.
There are many factors to change, as many of us will know. Transition is not easy. I am 36, and I have four children, I have no idea how they will take my transition. You could say they are 'dependent' on me. But I am also 'dependent' on them, for love and acceptance. All I can do is show them love and respect. If they choose to not accept me, I can't change that, but I do know that everything I display in terms of being a good person, will stick in their mind. So one day, they will see how how happy this amazing person is. And so they are more likely to want to know me.
What I'm saying is simply 'we can't change other people' the only things we can change is our behaviours. Show positive behaviours and eventually others may come around.
Transition is not easy, we know that, but with focus we can make it work!
Hugs,
Bree