The word "bloodshot" means that the whites of someone's eyes appear red or pink due to blood vessels being enlarged, usually from tiredness, dryness, or irritation. Full definition
It's difficult not to just allow your mind to wonder when you're awake at 2:30 in the morning, sitting straight up with bloodshot eyes as you breastfeed your kid for who knows how long. (romper.com)
The binge will cease, and there you'll be, sitting with bloodshot eyes in a chair and whispering to yourself, «My god, I'm really about to watch the Senior Bowl.» (sbnation.com)
Unlike the stained glass Good Shepherd, their skin was brown and weathered, their eyes bloodshot from the Arizona sun, and their hands callused and cracked. (religion-online.org)