Actually, hot drinks are a GOOD idea -- that's core warming. What's NOT a good idea in somebody suffering from hypothermia is to heat the skin, because the vasoconstriction of the skin that occurs with chilling actually reduces heat loss. When we have severe hypothermia patients in the ER, we heat the air they breathe, lavage their stomachs with hot water, and lavage their bladders with hot water, because those are good ways to transfer heat to the core.
What's not a good idea is hot ALCOHOLIC drinks, because alcohol defeats the vasoconstriction, and also increases fluid losses.