AFAIK, the synaptic activity in the various sectors your average female brain is much less segregated than your average male brain. It wouldn't be outrageous to suggest that (in general) female reasoning is influenced by intuition, or that our ethics spill over into the interpretation of our subjective empirical experience. Deity archetypes are powerful subconscious psychological motivators. If they're in there to begin with, women are more likely to be aware of them and incorporate them into our daily lives than men are because of the way our brains are wired, whereas men would be better at using their disconnected reasoning skills to arrive at and publicly stick to a conscious conclusion regardless of whether or not deity archetypes are motivating them on a subconscious level.
Also, women excel at linguistic and aesthetic brain functions in comparison to men. As they say, in the beginning there was the word and the word was with god, and the word WAS god. No surprise that women are better at using a linguistic / aesthetic concept like "god" in their daily lives.
Just my opinion.