The disclosure of the present application includes topically administrable compositions and methods for treating wounds and inflammatory conditions of the skin in mammals. In an exemplary embodiment, the composition includes a therapeutic amount of antihistamine selected from the group consisting of a non-sedating antihistamine, a physiologically acceptable acid of a non-sedating antihistamine, a salt of a non-sedating antihistamine, an amide of a non-sedating antihistamine, and a combination of two or more of these; a therapeutic amount of creatine; a therapeutic amount of creatinine; and emu oil product selected from the group consisting of emu oil, a biologically active fraction of emu oil, and a combination of these. The combination of non-sedating antihistamine, creatine, and creatinine with emu oil has been found to produce a synergistic effect that is more effective in the treatment of skin wounds than the compounds used separately.