I think I'm a woman because I'm a woman, it's as simple as that.

It's really not that simple. That is a conclusion you claim to have drawn. However you were born outwardly male, so the question is on what rational basis you've drawn this conclusion.

This shouldn't be a hard question to answer. You should deeply and exhaustively examine your motives before making such a radical life choice.

I like hockey, can't stop talking about sports, have poor fashion taste, all that, I'm pretty stereotypically masculine. I still identify as a woman because that's how I experience gender and as a result want society to gender me.

I'm not mistaken about something as simple as this.

What does that mean that this is 'how you experience gender'? This could be a case of simple gender-dysphoria.

I suggest that one possible root of gender-dysphoria is that men and women have different stereotypical personality tendencies, and you may have been born with one of the rarer personality types for a male, such as a caring, nurturing personality, and based on society's typical assigning of that as a feminine personality type you may have therefore concluded you're a man in a woman's body. But that is not the only conclusion that can be drawn, and that condition makes it easy to believe the statement that you're a "man in a woman's body" when in fact you're a man in a man's body with simply an atypical male personality that you simply have to discover how to grow into a express in male fashion.

For other people there is a fascination with the power that woman obtain from being beautiful, and a desire to possess that power over men by sex reassignment.

All I'm saying it, examine your motives. Make damn sure. There's no going back once they cut off your cock.

Also for some people, gender-dysphoria arises as a result of parental disaffection that gets transmuted to the child's attitude. Your mother or father actually really wanted a girl and you pick up on this and later it manifests as gender dysphoria. Not saying that's what's going on here but it's one of the typical possibilities that show up in counseling. In extreme cases kids have been literally raised as the opposite gender for a period of years as a child, dress, hair and all.