I am not sure if women are attracted to genius. Can you imagine the wise wizard winning the woman over the gallant swordsman? It seems rather otherworldly in more ways than one.
Nothin' wrong with havin' a cat in the house. They can see what most people can't, like the folks in the Otherworld when they cross back over - the good ones and the bad. And they get rid a mice.
Mystical insight and enlightenment occur when the veil between the worlds is lifted, the worlds are bridged, the gap closes, and we cross over.
A woman's body is the gate to this life. A man's body is the gate to the next life.