despite being busy; without minding the trouble
A formal, somewhat literary set phrase used when someone takes time or makes an effort despite a busy schedule. Often used in expressions of gratitude or admiration.
Thank you for attending despite your busy schedule.
He takes time out of his busy schedule to mentor his juniors.
A set phrase composed of 忙 (ぼう, 'busyness'), を, and the negative of 厭う (いとう, 'to mind'), literally 'without minding the busyness'.