blearyadjective
uk/ˈblɪə.ri/us/ˈblɪr.i/If you have bleary eyes, your eyes are red or have tears in them and you cannot see clearly, because you are tired or have just woken up:
to be bleary-eyed
blearily
adverb uk/ˈblɪə.rəl.i/us/ˈblɪr.əl.i/
Carl stared blearily (= in a very tired way) at the newspaper.