E. Cobham Brewer 18101897. Dictionary of Phrase and Fable. 1898.
Stables, but properly a place for hawks on the moult. The muette was an edifice in a park where the officers of venery lodged, and which was fitted up with dog-kennels, stables, and hawkeries. They were called muettes from mue, the slough of anything; the antlers shed by stags were collected and kept in these enclosures. (Lacombe: Dictionnaire Portatif des Beaux-Arts.)