The term 'Hairy Primate' is a crossword solution that can be filled in with the three-letter word 'APE'. Apes are a type of primate, which is an order of mammals that includes monkeys, lemurs, and humans. Apes are distinguished from other primates by their larger size, more complex brains, and lack of tails. They are also known for their thick fur coats, which is why they are referred to as 'hairy primates'.