I didn't downvote you, but I can see lack of relevance to the OP. Catherine Dulac's work is related to olfaction, probably even outside of the skull, and claim

I didn't downvote you, but I can see lack of relevance to the OP. Catherine Dulac's work is related to olfaction, probably even outside of the skull, and claims that the circuitry for male and female behaviour is present in all brains, but is activated by the 'vomeronasal organ'. Though there's maybe more nuance there, so the article is well worth the read.