Earlier quoted context omitted.
If Brexit taught me anything it was that the correct phrase is pesky unelected EU bureaucrats!
Now if we want to get into dirty details, no bureaucrat is ever elected. You elect the representatives, and they nominate in turn whoever bureaucrats they feel comfy to work with. Or is this in the UK different?
Sir Humphrey Appelby often explains to the Minister Jim Hacker how the Minister sets "policy" and it is the "humble public servants" that carry out that policy, having attended to the details that are required when dealing with the heavy business of government across departments, while leaving the Minister to concentrate on the "big picture", and doing his job, which is:
1. Defend the Ministry in Parliament
2. Make sure that the Ministry's budget is defended in Cabinet