To madden a person or animal means to make them very angry. He knew that what he was saying did not reach her. And the knowledge of it maddened him = infuriate. to make someone very angry or annoyed
make mad; "His behavior is maddening" drive up the wall; go on someone's nerves cause to go crazy; cause to lose one's mind
drive up the wall; go on someone's nerves cause to go crazy; cause to lose one's mind