Plantar Fasciitis: This condition is characterized by inflammation of the plantar fascia, leading to pain in the heel and bottom of the foot, especially after periods of rest or in the morning. The bilateral presentation and morning pain are consistent with this diagnosis.

Overuse Injury: Given the bilateral nature of the symptoms, an overuse injury from repetitive activities such as running or excessive walking could be a plausible explanation.
Gout: Although less common in women, gout can cause sudden, severe pain and swelling in the feet, often occurring at night or early in the morning.
Rheumatoid Arthritis (RA): RA can cause foot pain and swelling, particularly in the morning, due to inflammation of the joints.

Deep Vein Thrombosis (DVT): While less common, DVT can cause swelling and pain in one or both legs and feet. It's a critical diagnosis to consider due to the risk of pulmonary embolism.
Osteomyelitis or Septic Arthritis: Infections of the bone or joints can cause severe pain and swelling. These conditions require prompt diagnosis and treatment to prevent serious complications.
Peripheral Artery Disease (PAD): PAD can lead to pain in the feet, especially during rest, and is associated with significant cardiovascular risk.

Erythromelalgia: A rare disorder characterized by burning pain, heat, and redness in the hands and feet, which could potentially cause morning foot pain.
Complex Regional Pain Syndrome (CRPS): A chronic pain condition that can cause severe pain, swelling, and changes in skin temperature and color, usually after an injury.
Sarcoidosis: A systemic disease that can cause inflammation and pain in various parts of the body, including the feet, though this would be an uncommon presentation.