The procedure permitting voters to remove an official from office before the term expires is called a(n)

Your answer would be a Recall Election, hope this helps! :D

The procedure permitting voters to remove an official from office before the term expires is called a Recall Election. This can only happen when the majority of voters signed a petition in favor of the ousting decision. This practice has been known to exist since the Athenian democracy and is a common feature in a lot of contemporary constitutions.