All polls are tweaked to the left, there is no doubt of that.
But they are not tweaking women to the left more than they tweak men to the left.
And polls show the leftward tilt of women going back as far as you can.
There are biological and psychological reasons for it.
Women are built to want someone strong to protect them and provide for them.
They are also built to be risk averse (freedom is dangerous) and to micromanage children.
None of those are traits that tend towards good government.
But how do you know that?
The wants you describe from women are of course best provided by a family and not government. The left has the goal of destroying the family and turning a mother’s children against her.