No, you're truly not.
If you were to say that a trans woman was male, you would probably be right in the genetic sense not in the person sense. A man who undergoes castration and has his penis removed is still a man because not only his genetics but his brain is also wired to be a man.
What does it mean for a brain 'wired to be a man'?
For transgendered individuals, there's actually a difference in brain structures that makes male to female trans individuals more similar to women and female to men trans people more male than female.
What difference in brain structures? Do you mean their thoughts and preferences?
When Target or Kmart or whoever it was decided to stop segregating 'boys toys' and 'girls toys', there was a little bit of an outcry. It didn't bother me either way, because when I buy gifts for my nieces and nephews, I bug their parents to tell me the exact specific thing I should get, because who knows what chidren are interested in. I don't care if it's a 'boys toy' or a 'girls toy', because you should just let children play how they want to play and it doesn't change their sex or imply their brains are like the 'opposite' sex.
But it is interesting that so many of the words that are used to insult male homosexuals are female names: Nancy, Mary (which I had never heard), Queen to imply effeminacy which is silly. Not all gay men are effeminate and not all effeminate men are gay just as not all 'butch' women are gay and not all gay women are 'butch.'
No, but plenty of gay men are effeminate and plenty of lesbians are butch. This reality shouldn't bother people.

