During my 18+ years as a WA worker we had a couple of instances of men trying to infiltrate the group as volunteers, only to discover that they were paedophiles, trying to gain access to vulnerable young boys. Also once, in the days before 'women only' legislation we interviewed a very weird man, with a huge unexplained gap in his CV, for a refuge workers job. Trying to be PC we tied ourselves in knots about this man before one of the interviewers asked if we would give the job to this person if 'he' were a woman - the answer was a resounding NO and that was that.
We also had problems with a predatory lesbian unpaid worker, who made inappropriate advances to Refuge residents (she was asked to leave the group) but were quite comfortable with a relationship which developed between a Refuge Worker and a woman in the refuge as they kept it under wraps until the woman was rehoused. That couple are still happily together some 40 years on.
Part of the ethos and work of WA is to help women who have been abused to become self confident individuals, able to stand on their own two feet such that any future relationship they choose will be entered into on an equal basis rather than because they 'need' to have a man in their life. To this end we tried to demonstrate that women were perfectly able to tackle any task, without needing to call on male expertise or strength. Not always possible as the Council leased the Refuges to WA and would send random, local male plumbers, electricians etc. to do repairs or maintenance thus compromising the 'secret location' of the refuge.
These issues are very difficult for WA as a leading campaigning Women's Rights organisation. I trust that even if trans or SI women are granted the right to apply for WA jobs or as volunteers, the rigorous selection procedure will weed out anyone with dubious motives.