Great Annoyance is a term used to describe a feeling of intense ANGER or frustration. It is often used to describe a situation that has caused someone to become extremely irritated or upset. The crossword solutions for the term Great Annoyance are ANGER (5 letters). ANGER is an emotion characterized by feelings of hostility, displeasure, and antagonism towards someone or something. It is often associated with strong negative feelings such as rage, fury, and wrath.