bow to (one's) demands(redirected from bow to their demands)
bow to (one's) demands
To submit to or accept another person's demands. You need to grow a spine. You can't just bow to your boss's demands every time!
bow to someone's demands
Fig. to yield to someone's demands; to agree to do something that someone has requested. In the end, they had to bow to our demands. We refused to bow to their demands that we abandon the project.