I did not pass 100% before T. I was more androgynous but there was alot of "wow your a girl" or "wow your a guy" I tried avoiding most of it by just hanging out with friends I already knew who respected me and how I felt and not so much with strangers. Sure this was imposible to avoid people 100% but it helped much to at least having 1 person which I knew I could trust on these, and which I could complain and went to when people gave me bad reactions.
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Now when I pass pretty much people typically belive im gay, I dont get the annoying misgendering so often, and when I get misgenderen its "sorry i didnt knew you where a guy" insteed of "sorry I didnt knew you where a girl.(still really annoying)
But I still rather androgynous and living and studing with many people of the middle east it somehow fell more insecure. As you said girls are never taking seriously neither in the western or arabic world because a woman being manly is simple a tomboy, someone who will grow out of it, or something along the line.
When me and a female both said we where bi in the class, one of the guys (from Iran which is pretty homophobic) keep speaking to her like she is a hetrosexual person, while with me he speak to me as being gay.
So I feel while people took me less serious as a women people do feel "attacked" for me being a guy. I am not sure how to explain it. I have not been physically attacked but I have got alot comments and the look. I do however think being white give me alot of less trouble.
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how to avoid it im not sure, in some situations I have showed my ID fast as posible or hidden the gender mark while I show it(like I hold my fingers over it when I hold it. this have somethimes succeded if I am to show someone the ID and they dont really go into details, othertimes I cant avoid them quickly and when they ask questions I somethimes just say that the goverment made a mistake with my ID and I am trying to get it fixed.