Final answer:
Hydrotherapy is the best alternative therapy for reducing Mitzi's joint swelling as it promotes circulation and lymphatic drainage without the need for medication that could harm her liver.
Step-by-step explanation:
Mitzi is suffering from swelling around her joints and cannot be given anti-inflammatory medication due to liver disease. Among the available alternative therapies, hydrotherapy would most likely help reduce the swelling. Hydrotherapy involves the use of water for pain relief and treatment, which can include specific exercises in water to keep blood and lymph flowing through affected areas. This therapy will help in reducing edema by promoting circulation and assisting lymphatic drainage. Massage and compression could be beneficial as well, but given Mitzi's liver condition and the goal of reducing swelling, hydrotherapy stands out as a suitable option without involving any medications that could exacerbate her liver issues.