I would point out that your list frothy could equally apply to disability, lgbt, and BME. In some cases especially with women from BME the mainstream refugees are not providing enough spaces that are designed specificly to cope with cultural and religious norms.
Women's community projects have been comparably longer established than say lgbt, which means that they have more to lose, and yet are more likely to have never been cut before. This double whammy puts them in a difficult situation in trying to cope with the perceived threat to there funding. It also on the plus side gives them a fairly large pool of supporters who could be mobilised to pressure the government, as well as contribute to funds if need be.
I think some refugees might close, certainly will have to cut back, but I do not think that the large numbers of supporters that refugees or WA have will mean the entire service is closed. However this just relates to funding from central government, the funding that most local refugees depend on comes from local authorities, this is where the danger lies as all local authority budgets are being slashed and so the voluntary sector in every part of the country is being decimated.Central government who are reducing the budgets are let off the hook by saying that it is up to the local councils etc how they allocate the money. What I am saying just so it is clear is that, local women's aid and the local services are more at risk, and some of that risk will come in the form of having to justify why they should be funded when day centres for the elderly or the disabled, careers groups, school services run by local community groups get cut.
This is ofcourse is unacceptable as it pits one group against another, I would like actually to see all these services and many more funded from central government through general taxation, I think charities should not be supplying services,if they do exist they should be to present the government and the public with information and arguments that are not normally heard, such as women's rights.