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