What is Pet peeve?

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People who have learnt a little English know that the word pet is meant to be a pet. But if you take it for granted that Teacher ' Spet is a "teacher's pet," It's wrong, Teacher's pet is the teacher's favorite student.　　　　This leads to the following statements: For example, Boss ' Spet, my pet brother my favorite brother, John's pet project John most value. The word peeve means unhappiness, disgust, or dissatisfaction.　　　　　　For example, the situation put him into a peeve. See this situation, he was angry. Originally, in front of peeve added pet, meaning is different. For example, It rains a lot where Tom works. Badweather, it seems, is Tom's pet peeve. The place where Tom works often rains.　　　　　　As a result, bad weather seems to be a topic he likes to complain about.　　　　　　For example, my pet peeve is ants which be all over my place. I hate ants the most. So, Pet peeve means "the most annoying thing". That said, on the one hand can be said to be a habit, on one hand can see the American humor.

What is Pet peeve?