This happened in NSW Australia a few years ago when the refuge services were put out to tender as general homelessness service - resulted in decimation of specialist refugees and staff- big religious charities won most of business - the justification being that the state government only wanted a small number of big providers to deal with.
Most feminist refuge employees wouldn't work for religious charities so were left jobless. All that expertise and space lost overnight - of course it's been an absolute disaster for women - refuge run by men, women being charged, housed with General homeless etc all overseen by a handmaiden. The MRAs in power know how to fuck women over by administrative abuse led by one of their women (the same one who only last week voted against safe zones outside abortion clinics because free speech should prevail over women's safety. She also thinks basically women made their bed and should lie in it)
The religious charities had no expertise in running refuges and are still not preferred by victims who had/have no choice. Of course the religious charities have vested interests other than women's safety.
5 years on and quietly some of the specialism is creeping back in but so much ground was lost to never be regained- even the oldest
refuge closed it's doors.