badger to death
To pester or nag someone relentlessly. A person's name or a pronoun can be used between "badger" and "to." If you don't answer him, he'll just keep badgering you to death. I've been badgered to death by students all day—I need a break.
badger someone or something to death
Fig. to bother and annoy someone or some group. If you don't tell him what he wants to know, he will badger you to death until he finds out.