Kenneth G. Wilson (1923). The Columbia Guide to Standard American English. 1993.
annoyed (adj.)
combines regularly with the prepositions with, by, at, and about: She was annoyed with [by, at] her father. He felt annoyed about her sulky behavior. Annoyed can also take to plus an infinitive (I was annoyed to learn that shed resigned) or be followed by a that clause (They were annoyed that I hadnt waited for them).