What is the name for doctor that treats inflammation of the feet?

A Podiatrist is an expert in all aspects of foot care and problems with the foot.

Podiatric medicine is the only profession that dedicates itself exclusively to foot and ankle health and wellness. Podiatrists are highly trained medical specialists concerned with the examination, diagnosis and treatment of disorders and diseases affecting the foot, ankle and the lower leg by medical, surgical and biomechanical methods of treatment. Podiatrists are uniquely qualified among medical and health professionals to treat the foot and ankle based on their education, training and experience.