The word "pique" primarily means to stimulate interest or curiosity. When someone says they are "piqued," it can mean that their curiosity has been aroused or they feel somewhat offended. It's often used when something catches your attention in a way that leads you to want to learn more about it or when a person's feelings are slightly hurt by something said or done.
The word "pique" comes from the French word "piquer," which means "to prick" or "to sting." It entered the English language in the late 19th century and has evolved to represent the concepts of stirring up curiosity or a slight feeling of resentment.