under protest
Expressly against one's objections or disagreement. He signed the documents under protest, aware that he had no real agency in the matter.
under protest
after expressing your objection or reluctance; unwillingly. 1997 Independent Jon Benet would come to the Griffin house for her lessons on deportment, disappearing into the basement—sometimes under protest—to practise Dior turns.
under ˈprotest
unwillingly and after expressing disagreement: The new contract was finally accepted, but only under protest.