I see feeling irritated as a sign of faulty thinking. We believe the irritating person "knows better" and is purposely annoying us. But, who are we to determine how another should behave? How is it that we think they should please us? It could be that WE are in error. Wouldn't it be better to be more accepting, and know that the behavior of others has nothing to do with US? Their behavior is their business, not ours to judge.
This goes against everything we have been taught, doesn't it? We are taught to please others, and so we believe others should please us...all the time. Wouldn't it be more workable to teach love?
