Rheumatoid Arthritis (RA): This is the most likely diagnosis given the symptoms of pain in the wrists and feet, which are common areas affected by RA. The disease is a chronic autoimmune disorder characterized by inflammation of the joints, leading to pain, swelling, and potentially severe joint damage over time.

Systemic Lupus Erythematosus (SLE): SLE is another autoimmune disease that can cause joint pain, including in the wrists and feet, along with a wide range of other symptoms. It can affect various parts of the body, including the skin, kidneys, and other organs.
Psoriatic Arthritis (PsA): PsA is a form of arthritis that affects some people who have psoriasis. It can cause pain and swelling in the joints, including those in the wrists and feet, and is often associated with skin and nail changes.
Sjögren's Syndrome: This autoimmune disorder is known for causing dry eyes and dry mouth but can also lead to joint pain and arthritis, affecting areas like the wrists and feet.

Septic Arthritis: Although less likely, septic arthritis is a medical emergency that requires immediate attention. It involves a bacterial or fungal infection within a joint, which can cause severe pain, swelling, and warmth. If not promptly treated, it can lead to rapid joint destruction.
Gout: Gout is a form of inflammatory arthritis characterized by sudden, severe attacks of pain, swelling, redness, and tenderness in one or more joints, most often in the big toe. However, it can also affect the wrists and feet, and its acute presentation can sometimes mimic other connective tissue diseases.
Osteonecrosis: This condition involves the death of bone tissue due to a lack of blood supply. It can cause pain in the affected joints, including the wrists and feet, and is particularly concerning because it can lead to bone collapse if not addressed.

Relapsing Polychondritis: A rare autoimmune disorder that involves recurring episodes of cartilage inflammation, which can affect various parts of the body, including the ears, nose, trachea, and joints.
Mixed Connective Tissue Disease (MCTD): An autoimmune disease that combines features of lupus, scleroderma, and rheumatoid arthritis. It can cause a wide range of symptoms, including joint pain, skin changes, and internal organ involvement.
Ehlers-Danlos Syndrome: A group of disorders that affect connective tissues supporting the skin, bones, blood vessels, and many other organs and tissues. While it primarily causes skin hyperextensibility, joint hypermobility, and tissue fragility, it can also lead to chronic pain and joint issues.