Soph has a good point here. DNA will not change. But, DNA does not prescribe high heels and lacy bras. That's social femininity.
Wasn't in China under Mao Zedong, where they wanted to get rid of all of that. Can be forced on people. Doesn't change the reproduction, but sure changes the social roles.
Yes, nature did fuck up somewhere when a kid knows it is the wrong gender. Fixing the thing in the brain is a lot more dangerous and will have a much higher mortality rate than changing the social and physical settings to the brain. That still is a hell of a way to go.