The Collaborative International Dictionary
Priory \Pri"o*ry\, n.; pl. Priories. [Cf. LL. prioria. See Prior, n.] A religious house presided over by a prior or prioress; -- sometimes an offshoot of, an subordinate to, an abbey, and called also cell, and obedience. See Cell, 2.
Note: Of such houses there were two sorts: one where the prior was chosen by the inmates, and governed as independently as an abbot in an abbey; the other where the priory was subordinate to an abbey, and the prior was placed or displaced at the will of the abbot.
Alien priory, a small religious house dependent on a large monastery in some other country.
Syn: See Cloister.
Wiktionary
n. A small religious house dependent on a large monastery in some other country.
Wikipedia
Usage examples of "alien priory".
At Deerhurst there was an alien priory belonging to St Denis in Paris, and if he lodged there overnight he might be able to elicit some local information.
An alien priory, only a few miles distant, with its own miracle-working saint, and the great Benedictine house of Shrewsbury as empty of relics as a plundered almsbox!