A topical temperature therapy device that imparts known temperatures as a function of time to the therapy skin surface of a user during the course of therapy. The skin surface can be intact or breached through injury or surgery. The therapy temperature and time profile can be varied by varying the selections of, among several parameters, the formulation of the heat exchange material and the material and dimensions of the heat exchange material container, thus meeting the needs of a wide range of injuries and demographics. The therapy device contains a temperature indicator indicating the temperature of the heat exchange material in real time. The therapy device further provides visibility to the therapy skin surface during the course of the therapy to allow visual inspection of the therapy area as means to improve therapeutic outcomes. The therapy device is flexible and conforms to the anatomy of the therapy area.