Compositions and methods of treating textiles are disclosed. More specifically, stable compositions and methods for softening a wide range of fabrics are disclosed, including 100% cotton and hydrophobic synthetic fabrics, without detrimentally affecting the water absorbency properties of the fabrics. The compositions and methods provide desirable odor control without interfering with the stability of the product. The compositions contain at least one fatty material, water-dispersible polyolefin or at least one water-soluble or waterdispersible polyorganosiloxane, and at least one bleaching agent, preferably hydrogen peroxide. The compositions may optionally contain discrete, individual polymer particles, preferably polytetrafluoroethylene (PTFE), polyvinyl acetate (PVA), polyvinyl acetate/acrylic copolymer (PVA/a), or a combination thereof. The compositions are particularly useful when added to the rinse water in the laundering process, or in the final scouring of a fabric finishing operation.