Removing the Urine Odor from a Wool Rug Removing Dog Pee-Pee Stains. Remove pet stains from a wool carpet/rug using a white vinegar "Heinz" recommended.  Vinegar help neutralizes dog urine odor—Mix 1/2 cup white vinegar with 1 cup cold freezing water in a spray bottle. Spray the mixture on the dog's urine stains and bloated with white [...]