More word wars.
Here's the thing, though. You say that there is an inherent biological aspect of you that makes you similar enough to most people that have uteruses that you should be in one category. Ok. Fine. We will say that's "female", and that the people in the category are "women". That defining characteristic that you share is called "gender". Great.
So, is there a defining characteristic shared by only those people that actually have a uterus?
Or is that so insignificant it's not worth assigning a word to?
Because, you see, all of these word wars are pretty arbitrary. Words can mean what we want them to mean, but reality doesn't change once you label something. Some of us think that having a uterus or a penis or something is actually quite significant. Those organs that we use to discriminate one group from another actually matters. We call the discriminant used "sex".
Is that a good label? Is it worth a label?
Thinking about it, I'm just going to withdraw the question and just make a statement instead. No need to beat around the bush.
You can say that you are female, or a woman, or whatever else you want to say about yourself, and you can try to convince other people to adopt your preferred vocabulary, and to a limited extent, I'm fine with that.
But sooner or later, you have to acknowledge that for all the similarities that you find so important between you and the other people who call themselves women, there's also a difference, and that difference matters. it's not going away, and people aren't going to decide it's insignificant. Pregnancy, giving birth, reproduction. That isn't just wome strange weird hangup of Christians and bigots. It's humanity. It's reality. It's why we live. It's what creates all the other things that grow up around it. It even shapes our very bodies, which is reflected in strength, speed, and athletic ability.
It's important enough that there will always be a word for that discriminant that separates the two halves of humanity. I'll go with "male" and "female" right now, until something better comes along. Maybe you have some traits that are more common in females than in males, and those traits are so significant that you think you ought to be called "female" youself. Ok, fine, but then we would need a word for those traits that you don't share with most females. Things like the ability to have a baby, which is kind of significant.
The only way that you will get people to actually accept that you are really female is to get people to start using some different word for those other people that have a uterus. If you have a word for them, we can stop using "female" to designate that.