and data from the National Center for Transgender Equality suggests more than half of transgender people who stay in shelters encounter harassment

I'm willing to bet that the overwhelming majority of these are men that demand to stay in women's shelters and assault women

But transgender people are far more likely to become victims of violence, not perpetrators

Meh, if you try to trap a John, you're bound to experience violence. It's like saying that pickpockets are more likely to become victims of violence, not perpetrators.