It is rude to issue an ultimatum in a relationship.
Harold is married to Denise, and has been been having to look at an ugly figurine on their dresser that belonged do Denise's grandmother.
Harold wants to stop seeing the ugly figurine.
Harold asks if there is somewhere Denise could put the figurine that he can't see it as often, and she agrees to put it in her study room.
Harold says that either the ugly figurine goes, or he goes, and Denise gets rid of the figurine.
Denise still has her figurine to remind her of her grandmother, and Harold doesn't have to see it as much.
Denise resents Harold for trying to boss her around, and the two split up.