When advised to call the takeaway to ask for a refund, the woman said: "Well I tried to do that but she reckons she's the manager."
The force said it receives around 400 hoax or inappropriate emergency calls each month, including one woman who complained that her Nando's chicken was undercooked, and that the figure increases in summer.
In further released recordings, a man asks why the police helicopter is "hovering over my house and disturbing the peace" and a separate caller inquires about a "bull in the field" sign.
The man says he wants to know "who I can contact to find out if there really is a bull in the field or it's just a farmer messing around".
Superintendent Kevin Baldwin, who heads the force's control room, said: "There's nothing that frustrates my team more than picking up the phone on a [emergency] call only for it to be a call which plainly isn't an emergency and is sometimes a deliberate hoax.
"This is a very busy time of the year where we are working flat out, so answering a call made by someone who should have a bit more common sense isn't just infuriating, it could risk the life of someone who really needs us but can't get through."