From Longman Dictionary of Contemporary Englishnot give a damn/shit etcnot give a damn/shit etcspoken not politeDON'T CARE used to say that you do not care at all about somethingI don’t give a damn what you think. → give
Examples from the Corpus
not give a damn/shit etc• As David said, the union simply does not give a shit.• It was nature that had turned her grey, she said, and she did not give a damn.• I think their nonchalance about not caring or not giving a damn about record sales is just not true.• For opening doors and not giving a damn about what anybody else has to say to it.• My ideal would be to not give a damn as much as possible.• This time she yelled his name, not giving a damn if she looked a fool, and dived after him. 