That’s what you’re feeling. Your body’s sense of temperature is more correlated with the rate of heat flow than the absolute temperature difference. Water transfers heat much faster than air, so water will always feel more “temperature” than air of the same temperature. That’s why you can stick your hand into a hot oven without much discomfort but a hot shower hundreds of degrees cooler feels scalding. Going the other way around, if your body temperature is elevated from fever then a cool or room temperature shower will rapidly draw heat from your body, making you feel cold.
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