From Longman Dictionary of Contemporary Englishdon’t give it another thoughtdon’t give it another thoughtspokenWORRIED used to tell someone not to worry after they have told you they are sorry → thought
Examples from the Corpus
don’t give it another thought• "I'm sorry we had to cancel the party.'' "Oh, please don't give it another thought. It wasn't your fault that you were ill!''• "I'm really sorry about that." "Don't give another thought." 