WWP's Project Odyssey program helps wounded warriors overcome combat stress through rehabilitative retreats combining activities in nature like horseback riding, canoeing, whitewater rafting, and kayaking. During these activities, veterans can build skills, interact with peers, and receive support from WWP staff members and counselors, helping them on their journey after combat like the warriors in Homer's Odyssey. The document discusses WWP and their Project Odyssey program which uses nature activities for veterans' rehabilitation.