You searched for: “cheimaphobia
cheimaphobia, cheimatophobia (s) (noun); cheimaphobias, cheimatophobias (pl)
An abnormal fear of cold or frost, especially in winter, and of being cold; an aversion to cold things or cold air: People who have cheimaphobia, or the dread of the absence of adequate heat indoors, may overdress in their homes.

Some individuals who have cheimaphobia also avoid cold drinks and especially having ice in their drinks.