My rights as a woman do not diminish yours. What rights do you have that are taken away by my having rights? Meanwhile, here in the U.S., Transgender people are routinely fired, denied housing, and kicked out of public places just for being trans. Trans women face the additional discrimination society accords all women. The patriarchy does not ask my chromosomes or even the manner of my genitals at birth before dumping all over me.
Do you really think some guy is going to start harassing me and stop if he finds out I was assigned male at birth? No. He will probably attack me or try to kill me, as has happened with so many other trans women. I would find your archaic gender essentialism harmless if it didn’t provide others with the ammunition they need to hurt us. Just promoting the meme that we are whatever we feel like (as you have), implies being trans is a choice (also a denial of scientific and medical consensus). That and other transphobic tropes criminalize and dehumanize us: if we represent some legitimate threat (we really don’t), then it’s ok to attack and kill us. This is especially true for trans women of color, who are further marginalized racially, economically, and in terms of access to resources white cis people take for granted.
Also, you don’t get to determine whether I am a woman or not. I’m not a woman because I want to be; I am a woman because the medical, scientific, and legal community have determined it. I will defer to their expertise over your simplistic, narrow view of womanhood. I know you will disagree with this, so to that I say so what? Your opinion is not the one that matters to me.