I don't think of it as an either/or kind of thing. I think you can be both. For me I don't see being a trans woman as any different to being a left-handed woman, or a brunette woman, or a green-eyed woman. It's a part of me. One facet in a diamond. Just a different woman in a world of different women. It's part of who I am but it's not who I am. And... reconciling that went quite a long way to helping me feel better about myself.

I am a (probably too) sensitive woman.
I am a (probably too) emotional woman.
I am a trans woman.
I am an often too driven woman.
I can be a sometimes bossy woman.
I am an obsessive-about-some-things woman.
I am a caring woman.
I am a woman.
That's literally how I see it. It's one item on a list that goes into making me... me. Getting rid of that, I don't know... through that part of myself, I have met some of the best people, forged some of the best memories, shared laughter, tears, hopes, dreams... as with some of the other parts of myself. I don't see it as some sticker I have to wear, even though the rest of the world might. It's just part of my life and I'm okay with that. Like the Borg, I have assimilated your gender and sexual orientation distinctiveness into my own, lol.
Alice Krige was kinda hot in that movie. I mean... yeah.