"Cold-eyed" is often used to describe a person who is distant, unemotional, and detached. However, there are several synonyms that can replace this word depending on the context. For instance, "unfeeling" can describe someone who lacks sensitivity or empathy towards others. "Aloof" can be a more indirect way of suggesting someone is withdrawn or emotionally disengaged. "Impassive" is another option that is often used to describe individuals who don't show any visible signs of emotion. Lastly, "stoic" is a more philosophical approach to describing someone who is calm and unemotional, often in the face of adversity.