Sprinkle baking soda over the wool rug. The exact amount of baking soda that you use will be determined by the size of the wool rug. Every inch of the wool rug does not need to be covered by baking soda as long as the baking soda is spread around the wool rug.
Allow the baking soda to sit on the wool rug overnight.
Vacuum the wool rug in order to remove all of the baking soda from the rug.
Pour white distilled vinegar into any clean, dry spray bottle. Spray the wool rug with the white vinegar. Just as with the baking soda, not every inch of rug needs to be covered in the white vinegar as long as you spray throughout the area of the wool rug.
Allow the white vinegar to sit on the wool rug for a half hour.
Vacuum the wool rug once more.
Rinse the rug by soaking it in cool water in a sink or bathtub. You can also use your shower to rinse the rug.
Hang the rug outside in the sun or inside, preferably in front of a window or fan, so that the rug can fully dry.