Antioxidant protein with alkyl hydroperoxidase activity. Required for the reduction of the AhpC active site cysteine residues and for the regeneration of the AhpC enzyme activity. (R)-N(6)-dihydrolipoyl-L-lysyl-[lipoyl-carrier protein] + a hydroperoxide = (R)-N(6)-lipoyl-L-lysyl-[lipoyl-carrier protein] + an alcohol + H2O Belongs to the AhpD family. Extended N-terminus.