OK I do hope you will see this, because I have actually lived this as the child. In 1960 I was born notionally male - however I was never comfortable being that, and by the age of 4 was telling anyone who would listen that I wasn't a boy.
Thats when things got a little unusual, for all sorts of reasons too complex to fully list. My mother had some medical knowledge and was a producer of medical talks for the BBC. My father was quite a gentle man and as it turned out neither of my parents believed in enforced gendering so I was mostly allowed freedom to self express and explore. Just as important they found schools for me where this accepting ethos was also practiced, and they also told friends and family alike that they either accepted me for who I was, or never darkened our door!!! The result was that I had full family support, and if there was hotility I literally never heard it.
The end result years later, having transitioned and had genital surgery as a young adult, was that I had none of the self esteem, depression and anger issues that so often affect transpeople, even decades after they finally transition, and as a direct result I have gone on to be a woman of high achievement, and leading a very full and happy life.
Thse who think they must force conformity on to a gender variant child need to understand that one cannot do this, and in trying all you will do is teach the child that their parents, and indeed the world hates them, something that no human being should ever have as a core belief. In short trying to force a child to be something they are not, will only ever end badly for both parent and child. It's cruel, un-natural, and downright evil.
So ultimately I think the most important thing for a child to have is absolute and unconditional support. You don't have to "encourage" them one way or the other, just give them space. You just have to give them the freedom to be whoever and whatever they are, and tell them that whatever they choose is ok.