(1) Background: The search for new polymodal antioxidants to correct oxidative stress of various origins and its consequences remains one of the most pressing and rapidly developing areas of biomedical research. (2) Methods: Hydrogen peroxide and hydroxyl radical detection, induced luminescence assay, ELISA for 8-oxoguanine detection, animal survival, blood cell count, micronucleus test, and PCR were used. (3) Results: 2R,3R-trans-dihydroquercetin (DHQ) was shown to reduce the amount of hydrogen