rozdrażnienie irytacja in English:

Sometimes I feel a terrible exasperation.

in exasperation / sights of exasperation

Let me ask you something, Dad, she began, in a tone of patiently controlled exasperation that every experienced parent is familiar with.

Much to my annoyance, the train had just left when I got to the station.

Our teacher showed her annoyance by giving us more homework.

I can understand her annoyance - I'd be furious if I found a hair in my soup.

He answered with a look of annoyance.