This is first time I see someone worry about trans in battered women shelter. It just sounds like one of these made up issues that actual domestic violence activists dont seem to care about.

Battered women shelters also dont always have exclusively female staff. They do lean more female afaik, but penis won't prevent you to work as lawyer, psychologist, security etc.

What that worry shows mostly is that whoever is creating panic about this one was never interested in domestic violence - nor even curious about it.