The term 'County Fair CRITTER' can be broken down into two words: 'County Fair' and 'CRITTER'. County Fairs are events that take place in rural areas, usually once a year, where people come together to celebrate the local culture and agriculture. A 'CRITTER' is an animal, usually a farm animal such as a cow, pig, or sheep. The crossword solution for this term is 'STEER', which is a male bovine that has been castrated and is used for agricultural purposes.