For what it's worth, the programme is very naive, and given its subject matter, I can understand why so many would be offended by it. It paints a stereotype of gender that I do feel is, rightly so, quite offensive.
I do feel that the trans community have taken this stereotype on board and run with it - this stereotype being - boys play with cars, girls play with dolls. That's one reason why I distance myself from the trans community, because it equates gender identity with biological sex, and for me the two are not automatically related. Women, or men, should not be identified through societal constructs, but rather through anatomy. In this respect, I can present as a woman all day long, but that is it - present. That doesn't make me a woman. It makes me a pretence.
The irony is that I'm not even pretending to be a woman. I'm presenting as a woman, while having no misconceptions that I am actually a man. Whenever anyone refers to me using a female pronoun, I am very quick to correct them!