The term 'Cousin of an Alpaca' can be answered by two crossword solutions: LLAMA (5 letters) and Vicuna (6 letters). A LLAMA is a domesticated South American camelid, widely used as a pack animal by Andean cultures since pre-Hispanic times. It is closely related to the alpaca, which is believed to be its wild ancestor. The Vicuna is a species of South American camelid that is also closely related to the alpaca. It is the smallest of the wild South American camelids and is found in the high alpine areas of the Andes Mountains.