Propaganda is when you invent a fear that doesn’t exist, like the idea that cisgender women are less safe in restrooms with transgender women. There is NO evidence that male violence against women happens more in restrooms than anywhere else (which is to say, it is too high everywhere). There is even less evidence that transwomen pose a threat to ciswomen. This is a sociology page, so it should come as no surprise that we prefer to base our conclusions on evidence, not assertions.
And there is just one other point we’d like to make: if you were truly concerned about the safety of women, you would have shown equal disgust with the idea that transwomen may face a greater threat of assault when using the men’s restroom. However, we suspect this thought didn’t occur to you because you’re not really concerned with safety at all. Whether conscious or subconscious, you’re really just concerned with policing the boundaries of gender.
Thoughts?