They were late again, (much) 'to our annoyance'. [=it annoyed us that they were late again]
She shook her head 'in annoyance'. [=in a way that showed she was annoyed]
The long wait at the restaurant was a minor 'annoyance'. [='nuisance']
(..) - Do you want some time with Dad? - Yes. Thank you. Glad to see you're not trying to have a heartfelt talk. One of my greatest annoyances is when... ...people try to talk to those who can't hear them. Well, we have an advantage. My father and I never talk. Your father ever tell you (..)2003 Big Fish