Pink-eyed is often used to describe someone whose eyes have a pinkish hue due to various reasons such as lack of sleep, allergies, or illness. However, there are many other synonyms that can be used instead of pink-eyed. For instance, if someone is feeling fatigued and their eyes look irritated, then red-eyed would be an appropriate synonym to describe their condition. Bloodshot or inflamed can also be used to describe eyes that appear red or irritated. Another possible synonym is swollen-eyed, which describes eyes that appear puffy or swollen. All in all, there are various words that can be used to describe the condition typically referred to as pink-eyed.