snot-nosed

adjectives

(used colloquially) overly conceited or arrogant
"a snotty little scion of a degenerate family"-Laurent Le Sage; "they're snobs--stuck-up and uppity and persnickety"
bigheaded, persnickety, snooty, snot-nosed, snotty, stuck-up, too big for one's breeches, uppish
dirty with nasal discharge
"a snotty nose"; "a house full of snot-nosed kids"
snot-nosed, snotty