'Bloodshot' definitions:

Definition of 'bloodshot'

adjective

(of an eye) reddened as a result of locally congested blood vessels; inflamed; "bloodshot eyes"

From: GCIDE

Bloodshot \Blood"shot`\, a. [Blood + shot, p. p. of shoot to variegate.] Red and inflamed; suffused with blood, or having the vessels turgid with blood, as when the conjunctiva is inflamed or irritated. [1913 Webster]
His eyes were bloodshot, . . . and his hair disheveled. --Dickens. [1913 Webster]