The word "unelected" refers to someone or something that has not been chosen or appointed through a formal voting process to hold a specific position of power or authority. Full definition
The USD is a fiat currency directly backed by nothing, the supply of which can be arbitrarily altered and manipulated by a group of unelected bureaucrats in charge of the Federal Reserve. (libertyblitzkrieg.com)
• Members of the secret team constituted «a virtual shadow government, directed by unelected officials of the National Security Council and the Central Intelligence Agency, and a private network of former military and intelligence officials. (religion-online.org)
We are effectively a one party state consisting of a cross party conspiracy hellbent on handing sovereignty of our nation over to a bunch of unelected bureaucrats in the EU. (conservativehome.blogs.com)