under protest

:  in or into a position below or beneath something

:  below or short of some quantity, level, or limit

:  in or into a condition of subjection, subordination, or unconsciousness

:  below or beneath so as to be overhung, surmounted, covered, protected, or concealed by

:  subject to the authority, control, guidance, or instruction of

:  receiving or undergoing the action or effect of

:  lower in rank or authority :  subordinate

:  a solemn declaration of opinion and usually of dissent: such as

:  a sworn declaration that payment of a note or bill has been refused and that all responsible signers or debtors are liable for resulting loss or damage

:  a declaration made especially before or while paying that a tax is illegal and that payment is not voluntary

:  to make solemn declaration or affirmation of

:  to execute or have executed a formal protest against (something, such as a bill or note)

:  to make a statement or gesture in objection to