In a cup-shaped, double-walled enclosure that holds a hot liquid for placement over a human ear to alleviate pressure and discomfort, this invention resides in one or more structures to ensure that the enclosure remains structurally stable or does not impart thermal discomfort to a user. Such improvements or modifications include one or more of the following, alone or in combination: a thermally insulating layer of material around the outside of the enclosure a thermally insulating layer of material around the inside of the enclosure a post in the enclosure terminating in a distal tip indicating a preferred maximum fill level a thermometer strip in the enclosure indicating the temperature of the liquid placed in the enclosure and wherein the enclosure may be constructed of a thermoplastic elastomeric material that does not melt or distort when using water or other liquid thermal media at temperatures up to 280° F.