An odor-absorbing foam composition comprising a cyclodextrin crosslinked with a polyurethane prepolymer. In one embodiment, the foam includes a ratio of the cyclodextrin to the polyurethane prepolymer selected to result in formation of the foam. The odor-absorbing foam may be used in a personal care product or wound care. A process for preparing a foam, including providing a cyclodextrin; providing a polyurethane prepolymer; combining the cyclodextrin with the polyurethane prepolymer; and allowing the polyurethane prepolymer to react with water and crosslink the cyclodextrin to form the foam. A process for preparing an odor-absorbing foam article such as a personal care product, including preparing the foam and applying it or the components thereof to a suitable substrate.