Meaning of ANNOYED in English
BAD : I felt terribly annoyed with his lack of sensitivity.
GOOD : I felt terribly annoyed at his lack of sensitivity.
annoyed with/at sb : 'She's annoyed with you for not answering her letters.'
annoyed at/about sth : 'The thing that I'm really annoyed about is that nobody told me.'
BAD : She annoyed that I hadn't waited for her.
GOOD : She was annoyed that I hadn't waited for her.
be/get annoyed : 'My boss is always getting annoyed with me for some reason or other.'
Longman Common Errors English vocabulary. Английский словарь распространенных ошибок Longman. 2012