This is the existing practice of Rape Crisis services that are part of the Federation.
As said so often the impression given by a few (mainly scotland) of operating a trans inclusive service, is actually a bit insulting to all the women who are daily working directly with women traumatised by male violence, as part of services that are severely under funded.
Much better, as Women's Aid have also pointed out, to focus on funders who try whether through ideological belief (ie have been transed) or more likely just standard misogeny who are daily cutting funding to grass roots women's services on the grounds that it is cheaper not to provide single sex services.
Which for instance has led to women fleeing domestic violence being told they are lucky to get a room in a mixes sexed hostel, that will not have any staff supervision.