Agreed. There is no such thing as a "transgender", no one can ever transform or change gender. No amount of hormones, surgery or toenail polish can change your chromosomes. An XY will never became a XX.
Not even really weird mutilation of the body can change your chromosomes. Chopping some guy's penis off, carving out a fake vagina, and installing breast implants doesn't make him a woman. It makes him a mutilated man. Cutting off a woman's breasts, removing her ovaries and other internal genitalia, and building up a fake penis on her doesn't make her a man. It makes her a mutilated woman.
An XY will never became a XX.
In this case the term “transvestite” should be used. But I think that word has been banned and any reporter caught using it may be fined or jailed.