I don't believe that women even have much of an innate attraction to men. At least, they're not nearly as attracted to us as vice versa.
Female attraction to and desire to be with men is directly proportionate to their fear of brutalization and destitution. Absent those fears, the female attraction to men is weak, which would explain the nuclear levels of hypergamy in the modern West.
Women's attraction to men is mostly dependent on their need for provision and protection. For anyone who doesn't believe me, think about this: what is the safest, most high-tech, most developed nation in the world? And what nation is experiencing the most pronounced "sex recession?" That is not merely a coincidence.