snotty-nosed
From Longman Dictionary of Contemporary Englishsnotty-nosedˈsnotty-nosed British English, snot-nosed American English adjective informal DIRTYused about an annoying child a snotty-nosed little kidExamples from the Corpussnotty-nosed• More surprising by far, however, was what that tiny, snotty-nosed thirteen-year-old had become.• The hall was invaded by legions of snotty-nosed, tousle-haired, black-faced imps.