The term 'Animal with a Beard' can be solved by the four-letter word 'GOAT'. Goats are a type of domesticated mammal that is part of the Bovidae family, which also includes sheep and antelopes. Goats are known for their long, shaggy beards, which are made up of long hairs that grow from the chin and lower jaw. Goats are also known for their agility and sure-footedness, which allows them to climb steep hillsides and rocky terrain.