I fear much of the issue here’s down to a fundamental misunderstanding of what it means to be transgender. Transgender women are not “men transitioning into trans women,” just as transgender men are not women.
As a woman, I do not ask for anything but the right to exist as any other woman does. As a white woman and someone who pretended to be a man for many years, I acknowledge a great deal of privilege. I do my best to leverage that privilege to help others.
What any of that has to do with my and other transgender people’s ability to live without harassment, though, is unclear. Some would imply that, because of the circumstances of my birth, and because it took me much of my life to finally not care what those who would discriminate against me might say, I am somehow “less than” other women and should be ok with being treated as a second-class citizen. I don’t think you necessarily are implying that, but looking at the situation as a matter of a “man becoming a woman” instead of a woman changing her outward appearance to better fit who she really is, can lead to further discrimination and marginalization.
Additionally, the anti-trans-feminine narrative put forth regularly by anti-trans folx, usually tends to ignore the existence of trans men and all the various kinds of non-binary folx. Anti-trans people primarily ignore trans men and NB folx because they don’t fit the narrative described in this story. The long-discredited and completely misused notion of autogynophylia only works to discredit trans women.
BTW, I have studiously avoided using the term TERF here because I find nothing feminist about attacking other women and directing hate at already marginalized people.