Well it is true that men have higher blood flow to hands and skin (Cooke et al., 1990. I am not sure if it is because the blood pools around ovaries, that can't be good. But one thing is there, women are better at conserving core body temperature than men. This is likely to be an evolutionary adaption for keeping any fetus, if present, warm. So it is likely that body tries to keep the core warm, while not giving extremities the precedence. Though it will need more work to confirm this hypothesis.
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