The act of appointing someone as a bishop, or the process of making something bishop-like or positioning it as a bishop would be.
Present participle of the verb 'bishop,' from the noun 'bishop,' used as a verb following standard English conversion patterns.
Verbing nouns—turning 'bishop' into 'bishoping'—is how English constantly refreshes itself; we've been doing this since Old English times, so 'email' used as a verb or 'Google' used as a verb is just continuing an ancient pattern.
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