I mean yes, women are somewhat more empathetic (socialization, toxic masculinity, etc) BUT I would challenge this as I challenge all polls/surveys on such things as to if they defined socialism for the participants and what they defined it as. Because 95% of the people for socialism in polls when asked without clarification consider it Bernie-Sanderism or basically welfare capitalism, social democracy, the so-called nordic models.
Ask the same question but use communism and watch those numbers among both sexes absolutely plummet to irrelevancy.
People want better conditions but sadly they still believe the propaganda about evil communism and thus have no meaningful path to those conditions.
Socialism in the context of western polls should always until proven otherwise result in an immediate mental substitution of the word "social democracy with lots of welfare and safety nets".
The west is a mess. Hope springs eternal of course but well I really doubt the west can decline fast enough that I'll live to see the revolution.
Honestly I would be interested in a poll that polls about support for communism, Marxism, etc and a breakdown of that along gender/racial lines but I doubt the polling companies will ever have an interest in doing that because those who want to fearmonger about socialism only need this inflated definition and many liberal academics believe Marxism dead so asking about it pointless.