impertinence

noun

1. (uncountable)Lack of pertinence; irrelevance.
2. (countable)An instance of this; a moment of being impertinent.

   “"Enough, sir! " he thundered with barely restrained fury. "Enough, I say! Once and for all I must endeavour to rid myself of you and your impertinence.”

3. (uncountable)The fact or character of being out of place; inappropriateness.
4. (countable, uncountable)Insolence; impudence.

   “"Because," interrupted the actress, "I see things exactly as they are. I calculate my effects, but they do not deceive myself; you, on the contrary, live in a world of illusions, where every thing is called by such an exceedingly fine name, that it seems a downright impertinence to ascertain what it really is."”

   “The musical has always had a lightness of touch, an impertinence that resembles gay humor.”