Correct option is C
The idiom "out of the blue" means something that happens unexpectedly or without warning. The sentence implies that the information about moving to New York was surprising. Therefore, the most appropriate idiom is: (c) out of the blue. The completed sentence is: "She told me, out of the blue, that she was going to live in New York."
· Meanings of the other options:
· Blue blood (a): Refers to someone of noble or aristocratic descent.
· Black and blue (b): Describes being bruised and beaten.
· Once in a blue moon (d): Refers to something that happens very rarely.