'archbishopric-related' originates from Modern English, specifically the compound 'archbishopric' (formed from 'archbishop' + the element '-ric'/'-rīċe' meaning 'realm') combined with the adjective-forming element 'related' (from 'relate').

'archbishop' comes via Medieval Latin 'archiepiscopus' from Greek 'arkhi-episkopos' ('chief overseer'); 'archbishopric' developed in Middle English as the domain or office of an archbishop (influenced by Old English 'rīċe' meaning 'realm'), and the compound 'archbishopric-related' is a modern English formation combining that noun with 'related'.

Initially the root referred specifically to the office or realm of an archbishop ('archbishopric' = the archbishop's jurisdiction); over time compounds like 'archbishopric-related' arose to mean anything 'pertaining to' or 'connected with' that office or its affairs.