Oh, I think Caroline Flint is well aware that she is being watched stalked, threatened and metaphorically spat at by transactivists.
No one wants trans people to feel unsafe.
Most MtT don't look like women, not even the young ones at my university.
A while back, a young woman was raped in the women's loos at the SU owned nightclub. The rapists were never found. Then a MtT SU rep campaigned to make all loos on campus/at the SU nightclub sex neutral.
Now, the rapists almost certainly weren't trans. Although that's debatable because the "trans umbrella" covers such an enormous range of behaviours now. However, a place where a woman had reported a rape is now open to anyone who wishes to use it. Whether that's for the quite reasonable purpose of a MtT wishing to go for a pee or for a rapist to go and hunt for a victim. What they can't be used for it as a place to get away from the persistent dude who won't stop chatting you up despite you telling him to get lost. Or from the dude on the dance floor who won't keep his hands to himself despite you telling him no, in fact, in the second case, it might be seen as you looking for somewhere more private... The same might even be true for men, although I doubt it.
PL wishes to be seen as more womanly than women. Given India Willoughby's performance on WH and their sadface tweets afterwards, it seems to be contagious.