Predators hide, often in plain site, frequently in positions of power, &, more often than not, using roles where they appear to be helping society or individuals or with access to the vulnerable.
To assume that because someone just declares they are a victim of social injustice they should have access to spaces provided to keep a vulnerable group safe - without proof or without any regard for risk for that group - is not just unfair it is unsafe.
The issue - per se - is not about trans/cis debate it is about the complete opening of single sex facilities to ANY & ALL males without the ability to object to their behaviour or a way to protect ones self?
If a transwoman enters the space & acts with reserve & consideration to other sensitivities that may be different BUT I would argue if we go this way we need truly private & self contained cubicles the entry to which MUST be an open safe place. & they have to be cleaned frequently! There are examples of this that I have seen & they work.