adjective
1
BAD : I felt terribly annoyed with his lack of sensitivity.
GOOD : I felt terribly annoyed at his lack of sensitivity.
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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.'
2
BAD : She annoyed that I hadn't waited for her.
GOOD : She was annoyed that I hadn't waited for her.
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be/get annoyed : 'My boss is always getting annoyed with me for some reason or other.'