demur at (something)
To dispute or contest something. I'm sorry, but I demur at the suggestion that I'm not qualified for this job just because I made one mistake!
without demur
Without objection or hesitation; at once. I knew he was broke, so I thought he'd accept my offer without demur. They'll never think of you as their peer if you agree to every order they give you without demur.
demur at something
to dispute something; to challenge something. I fear I must demur at your suggestion that I am aloof and condescending. Alice demurred at the suggestion that she was late.
without deˈmur
(formal) without objecting or hesitating: They accepted without demur.