You searched for: “erythermalgia
erythromelalgia, erythermalgia (s) (noun) (no pl)
A throbbing and burning pain in the skin: Erythromelalgia is often brought about by exertion or heat, affecting the hands and feet, accompanied by a mottled redness of the parts with increased skin temperature.

Erythromelalgia can be considered to be a rare disorder of middle age, characterized by paroxysmal attacks of severe burning pain, reddening, hyperalgesia and sweating, involving one or more extremities, usually both feet and the attacks can be triggered by heat, and are usually relieved by cold packs and limb elevation.