Well, a gender gap like that isn't special to the US.
We have the same in Canada and I suppose elsewhere.
Easy to explain, because the women are usually poorer than men and have more "social" jobs (nursing, etc...) which make them see the sad life of poor people, while more men are in leadership positions, where they see more benfits with right-wing positions.
I always thought it was because women vote based on emotion more than men do.
I always thought it was because the right-wing seeks to take away womens' rights. But that's another story.
I don't think FL's ever going to vote like this for a long time. It'll probably remain a swing state for a while. But yes, Rubio probably will help Mittens.