The term 'vexed state' can be described by two crossword solutions: 'PIQUE' (5 letters) and 'SNIT' (4 letters). PIQUE is a feeling of irritation or resentment caused by a perceived slight or indignity. It is often used to describe a feeling of being provoked or challenged. SNIT, on the other hand, is a slang term for a fit of bad temper or petulance. It is usually used to describe a person's reaction to a situation that has caused them to become angry or frustrated. Together, these two words provide an accurate description of a vexed state, which is a feeling of being irritated, resentful, provoked, challenged, angry, and frustrated.