You mistake my position. Perhaps disambiguation between sex and gender identity would clarify. Sex we can call chromosomal, and is mostly irrelevant to the rest of the discussion. Gender identity is what I perceive my sex should be. We should not discriminate on the basis of sex (the biological) or gender identity (the mental).
> The statement "trans-women are not female" is not hate speech under your definition. Correct?
Would be hate speech based on gender identity, the immutable trait.
> If so you are in an interesting position. You have a direct line of communication to our censor. I would encourage you to post on your company's discussion board "it is not possible for a trans-person to change their sex". Or "trans-women are not female". Or "sex-change operations can not change a person's sex".
Ultimately, of those three statements, I would consider the second hate speech, the third unambiguously true (and mostly uncontroversial, it neither changes biological sex nor does it change gender identity, it changes only presentation), and the first a generally true statement, though perhaps phrased badly: speaking strictly biologically, the answer is obviously no, speaking in terms of gender identity, the answer is still probably no because the question is malformed. One need not change your gender identity. It's immutable. One is free to change your physical appearance to better match your identity, and for some people a (to use the medical term) "Gender Confirmation Surgery" helps to better align their physical appearance with their identity.
Ultimately, we should neither discriminate based on what chromosomes a person has, nor based on someone's immutable mental image of how they should be. I don't really think I need to spend any time responding to the rest of your post, since it is based on faulty assumptions.