You feel annoyance when someone does something that you do not like, or when you cannot do what you want to do.
1. To his considerable annoyance, Francis did not accept the idea immediately.
2. ‘Why didn’t you tell me?’ Jimmie failed to keep the annoyance out of his voice.
Irritation can be used with the same meaning as annoyance. However, it is more often used if something you do not like goes on for a long time.
3. I still felt an increasing irritation as I watched her.
4. They remain a source of constant irritation to both mother and father.