a stick to beat someone with

stick to beat (someone or something) with

Something, often a mishap or misdeed, that is used as an excuse for criticism. Even the slightest mistake by Stan was enough to give the boss a stick to beat him with.
See also: beat, stick
Farlex Dictionary of Idioms.

a stick to beat someone with

or

a stick with which to beat someone

BRITISH
COMMON If someone uses something as a stick to beat someone with or a stick with which to beat someone, they use it to punish them or cause embarrassment or difficulty for them. Republicans had hoped to use foreign policy as a stick to beat the President with. Note: You can also say that someone uses any stick to beat someone, meaning that they take every opportunity they can to punish someone or cause embarrassment or difficulty for them. The Socialist opposition, of course, will use any stick to beat the government.
See also: beat, someone, stick
Collins COBUILD Idioms Dictionary, 3rd ed.
See also:
  • a rod/stick to beat somebody with
  • a stick to beat someone or something with
  • stick to beat (someone or something) with
  • catch (one) dead to rights
  • indict
  • indict for
  • indict for (something)
  • hang (someone) for (something)
  • hang for