Your feelings serve as a mirror. By feeling good or bad you gain an understanding of how you perceive a situation. The individual decides how to perceive the situation. What I may view as annoying may not bother you.
A person with low self-esteem may view someone to be arrogant. A person with self-confidence might view the same "arrogant" person as being self-assured. It's all in the eyes of the perceiver. This is why people who generally see others in a negative light best look in the mirror because they are the genesis of their negative experiences.
The next time you encounter an annoying person, thank them. It has nothing to do with them and everything to do with you.