"At drop of hat" is an idiom that denotes someone who is ready to act or respond immediately, on a whim or without much thought. The antonyms for "at drop of hat" would be someone who is hesitant, cautious, or slow to act. Antonyms for this idiom include words like reluctant, indecisive, uncertain, and ambivalent. They are the precise opposite of someone who is impulsive, spontaneous, and quick to react. People who are the antithesis of "at drop of hat" tend to consider all options before making a move, ensuring that they are fully prepared for any eventualities that may arise.