I agree that it is grossly unfair that the degree to which people are allowed to have agency over their body is so often dictated by who they are and societal opinion. However, I think you must have only really heard one side of the debate to argue that transitioning is cheered on. I can't say that has been my experience, and although attitudes are changing there are still many people who disagree with it today.
In terms of trans men and your ability to tell, I do wonder whether some confirmation bias is at play. If you already are aware that someone is trans, it is easy to look for things about their body that confirm that. Equally, where you do not know if someone is trans, the only trans people you will notice will be those for whom it is apparent. Have you ever considered that you may have met trans people, without ever realising?
I know many here will probably think I am just deluding myself. However, I must be honest that when people pick up on the fact that you are trans, they are rarely discreet about it. It was very apparent to me early in my transition that people were staring and wondering, and it was common for people to ask if were a man or a woman. The fact that I have not experienced that in many years makes me think it is unlikely that people are still wondering about me.
I hope to become a professional who will inspire trust and faith in any patient. However, I appreciate that in a potentially vulnerable situation, a patient may be uncomfortable being treated by someone whose experiences are very different than their own. I'm saddened to hear that you feel I wouldn't understand you or your body. Clearly, no one can understand the views or experiences of another in the same way that that individual can. However, I always try to consider the views and feelings of others, and be empathetic to the needs they have. No matter what, I have absolutely no desire to enforce my presence on a patient who feels uncomfortable with me.
I understand that many people feel betrayed by transition. The fear that I would make my family feel ashamed and betrayed was a large factor in why it was so hard to articulate my feelings when I was younger. However, I can't say that I agree with the implication that the decisions made by an individual about their own life and body should come secondary to the feelings of others. Whilst nothing we do exists in a vacuum, ultimately a person has just one life, and in the end we can only live it in the way we feel is best.
I also wanted to say that my choice to transition was not down to a dislike of the lesbian community. To the contrary, whilst it wasn't for very long, when I did live an openly lesbian girl I found a wonderful community who were incredibly accepting and kind. That community and the sense of belonging is something I miss. However, whilst it had great benefit for me in that sense, it did not relieve my sex dysphoria.
I am very grateful that women like you exist to support young girls in finding their place in a world that too often devalues them. I have said this before, but I will reiterate - if a young person with sex dysphoria can find a way to come to terms with it, and live a happy life as a gender non-conforming or LGB person, then that is a preferable option.