The term 'AT PIQUE's Peak' can be broken down into two words, 'AT' and 'PIQUE's Peak'. The first word, 'AT', is a preposition that indicates a location or position. The second word, 'PIQUE's Peak', is a phrase that refers to the highest point of anger or annoyance. The crossword solution for this term is 'IRATE', which is an adjective meaning 'very angry or annoyed'. Therefore, the term 'AT PIQUE's Peak' can be used to describe a person who is extremely angry or annoyed.