Why is a male's internal identity dysphoria treated as a medical emergency by these groups, but they treat a woman's safety-based dysphoria as completely irrelevant?
Because the entire thing is built upon deep, fundamental and really quite abusive misogyny that sees women as the rightful property and resource of men. Look up the historic stuff in transactivism about the wrongness of women 'gatekeeping their vagina' for example: the belief matching one in incellism that women are walking sex resources for men and have no business having minds, opinions or consent that prevents their proper use to meet men's 'needs'. This is why the consenting women in the mixed spaces won't do. It HAS to be the ones who say no. The ones who will be distressed, the ones who resist, the ones it will hurt.
No one involves has any belief that these men are women, it's entirely performative. If they thought they really were women, they wouldn't care what they felt, needed or wanted. And this is a very small group of men, it is not your average man by any means. We all have men in our lives who would never behave like this. And then you have to look at the comorbidities within this group, and consider what those mean in terms of social and sexual relationships, capacity for reciprocation, for coping with boundaries that clash with what they want.
The ultimate and nastiest misogyny of it all is the not only performative narrative and enactment of belief, but actively sacrificing other women to them.