The Collaborative International Dictionary of English v.0.48:
Archdeaconry \Arch`dea"con*ry\, n. The district, office, or residence of an archdeacon. See Benefice. [1913 Webster] Every diocese is divided into archdeaconries. --Blackstone. [1913 Webster]WordNet (r) 3.0 (2006):
archdeaconry n 1: the territorial jurisdiction of an archdeacon