The BBC today has a story about a champion racehorse who has just retired
She will now be retired to stud
This doesn't really scan for me. It feels like being put out "to stud" is something stallions do.
A little reading says that the female equivalent of a stud, is a broodmare. But there seems to be no common usage of a horse being put out "to mare", "to brood" or "to broodmare".
Was my initial assumption incorrect and both stallions and mares are retired "to stud"? Or is there a female specific term?