Prepositions with Annoyed
-When annoyed forms part of a passive verb, or when it is fully participial in force, it is followed by the preposition by to specify the cause of the annoyance.
-They were annoyed by the persistent barking of a dog.
-Annoyed by the frequent interruptions from the audience, the speaker lost his temper.
-When annoyed is an adjective denoting a feeling or state of mind, the prepositions are with, about and at.
We are annoyed with a person (‘The manager is very annoyed with you’),
about something that has happened (‘I am very annoyed about the damage to my car’).
In colloquial English annoyed about may be followed by a noun denoting a person if the reference is not really to the person himself but to something he has done or in which he is involved :’I am very annoyed about that bus conductor’ (e.i. about his giving me the wrong change, at his failing to stop, his misinforming me, his rudeness, etc.).
->Annoyed at refers to annoyance felt at the time of the situation or occurrence that provokes it:
‘I was annoyed at the insolent way in which he answered me’.
It may be used of a persisting annoyance if the situation or occurrence that provokes is still persists:
‘I am annoyed at his squandering his money in the way that he does’.