It is not the transwomen who use their trans status to commit crimes who ‘tar’ real women. It is just that real women have no way of knowing who is who (ie is the 6 foot muscular person in the changing room with a teenage girl a pervert or a ‘misunderstood’ transwoman?) so mentally group them together as potentially dangerous. We grow up knowing that men are more dangerous than women, because they are. That doesn’t mean that we think all men are bad - just that more dangerous people are male. Transwomen are still male.
Those who suggest that we should have no female spaces- why do you think there are women’s prisons, hostels, hospital wards and changing rooms in the first place? It is not the same as having men-only clubs and making women sit in the ‘saloon bar’. Women want spaces where we can safely be vulnerable (sick, undressed, asleep), to have dignity when we use the loo, change tampons, try on underwear etc, and to know who is touching us intimately (eg in medical settings) before we give consent.
The TRAs (trans rights activists) who scream abuse at women, the male contestants who can’t win against other males so impose themselves into women’s sport, the males who take prizes set up for women (eg in the Arts, where women are underrepresented) are not vulnerable and marginalised - they are taking advantage of the way society always puts the interests of men above those of women, and it is not transphobic to say so.