A 'Patroness'.
Although, if you are reffering to the title "Patron Saint of _____" then the title 'Patron' is used whether male or female.
The female counterpart of patriarch is 'matriarch'.
The female counterpart of a stag is a doe.
The feminine counterpart of "patron" is "patroness."
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A countess.
Mesdames.
The female of a bull - is called a cow.
The Patron Saint Index lists no female patron of dancing or dancers.
feminine term of villain
There is no patron saint of excellence - male or female.
The female counterpart of a monk is a Bikkhuni and Hershang in Chinese.
A sacristan is a unisex term. They may be male or female.