You’re expected to package yourself as “cisgender,” which means agreeing—publicly, repeatedly—that you’re comfortable with what every girl and woman in fact chafes against as she grows up and tries to find a place for herself in the world.
So you're saying that no one can identify as a woman because that's yours and that's sacred, but it's also something that everyone who falls into the category is deeply uncomfortable with and must warp themselves around rather than just be? You're saying this as if all girls and women hate being girls and women, as if everyone chafes and aches around the weight of womanhood, which just isn't true. Are you arguing that the identity of "woman" is something that is externally imposed rather than internally experienced, and therefore something that will never sit right with anyone who falls into that category? It may very well be your experience, but don't act as if every woman shares it.
Also, of course you can say that you're a female and therefore a woman, if that is how you feel. You just shouldn't say that's the only way to be a woman or try to exclude everyone who doesn't have the same experience as you.