From Longman Dictionary of Contemporary Englishyour/his lordshipyour/his lordshipPGOused when talking to or talking about a lord, or when talking to a British judge or bishop(1) → ladyship → lordship
Examples from the Corpus
your/his lordship• Nor did his Lordship draw any demarcation between administrative institutions and inferior courts for the purposes of review.• The reason you want to see his lordship has nothing to do with gratitude and you know it.• Jun. 805, where his Lordship dismissed a petition to expunge the proof of a surety against the estate of a co-surety.