Which term describes an authoritative command that does not allow for contradiction or refusal?

The term that best describes an authoritative command that does not allow for contradiction or refusal is "peremptory." This word originates from the Latin "perimere," meaning to take completely or destroy. In a legal context, a peremptory ruling or order is one that must be followed immediately, offering no opportunity for debate or denial. It conveys a sense of urgency and finality, compelling compliance without the option for opposition.

The other choices don't fit the definition. "Peripatetic" refers to walking or traveling, often used in the context of philosophical teachings, indicating movement rather than authority. "Pillory" is a device used in historical punishment, and while it denotes public humiliation, it does not imply an authoritative command. "Piquant" relates to something that is stimulating or sharp in taste or interest, but it does not pertain to authority or commands. Thus, "peremptory" is the most accurate term for a command that must be obeyed without question.