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Why, yes, feminism does have to support all women, even the ones you don't like, that's kind of the whole point.
That doesn't mean you *agree* with everything any woman does. It doesn't mean you give any woman anything she asks for. It doesn't mean you excuse everything every woman does.
What it does mean is that no woman is responsible what men do, no matter how ill-thought her choices, and she is still entitled to the benefits of feminism.