The term 'distant and cool' can be summarized by the word 'ALOOF', which is a five-letter word. ALOOF is an adjective that describes someone who is distant, uninvolved, and indifferent in their attitude or behavior. It is often used to describe someone who is not interested in engaging with others or participating in social activities. This term can also be used to describe someone who is emotionally detached and does not show any signs of warmth or affection.