[Serious] Please convince me gender is binary

[Jehanne]

There has been a lot of discussion on it lately, and there's a lot of informed and actual people that struggle with gender. Perhaps I need an education in gender identity, But I only see gender as binary. I'm open to be convinced otherwise. Let me start with a statement, which I'm sure people will jump all over.

I define gender normalcy as that which functions according to its design. Our design is in our DNA as male or female.  Gender identity uses the same words and is thus binary. Is this a true statement? Elucidate me.

PS- I don't think I did the serious tag right, I need an education on that too please

I am a transgender female; some of my earliest memories were of wearing make-up, my mom's dresses/skirts, daydreaming of getting married, carrying a baby within me, etc.  (But, of course, I am a biological male.)  And, so, what's the big deal?  What do you and yours expect of me?