archbishopric

noun2

1. •
   The rank or office of an archbishop.

   • A bishop of Bath […] was considered after due reflection to be an unsuitable man for the Archbishopric, because he had too many illegitimate children—not some, but too many. — 1958
2. •
   The jurisdiction of an archbishop.

   • St. Salvadore in the Bahia los todos Santos, is an Archbishoprick and Seat of the Viceroy, the chief Port of Trade for Importation […] — 1724