I think most women I know including myself are very supportive of trans people. However the boundary pushing to be point of abandoning all safeguarding measures put in place specifically because of predatory male violence and sexual assault, cannot be allowed to continue.
We cannot allow manipulative men to hitch themselves to a cause in order to enable their fetishes - which mostly manifest in pretending they are women. These men are certainly not safe to be near women and children in intimate settings.
With self ID ANY man can say he is a woman and we have no choice - we have to move over and allow him access to us, access to our daughters. The media have be told to "kill" stories if need be - see below from the The Trans Journalist Association - which is advising news writers to "kill" stories on trans criminals, censor detransitioners, and erase references to biological sex as a reality.
Their style guide is currently being utilized by multiple major media outlets.
transjournalists.org/style-guide/
"Don’t ask for or publish a person’s criminal history unless it’s completely relevant.
Be aware that trans people are disproportionately criminalized and policed. If the person you’re reporting on has a criminal record, reporting that information could have consequences for that person. For instance, it could make it harder for an individual to find work. Reporting on that criminal record also perpetuates stereotypes about trans people. If that history is not relevant to the story, you should not report it. If it is, you should consult with the individual about whether they are comfortable with that information being published. Before proceeding, discuss the potential negative impact publishing such information could have on them. You may need to find a different source or give the source anonymity if you cannot proceed with the story without publishing their criminal history. Publishing such information is rarely in the public interest. Consider killing a story if you have no alternatives."