I was laying in bed one day, looking at my ceiling fan, when I wondered, "Doesn't the ceiling fan, because it makes wind, cause wind chill, which 'wicks' heat away from me -> making me feel cooler, because that's how wind chill works. But because heat energy cannot be created nor destroyed, won't the wicked heat go into the air (among other places) and make the air warmer? This question also applies to wind in general, not just wind from an innocent ceiling fan. Any support is appreciated.
And final note: If a ceiling fan doesn't heat up the area, is there a practical instance where some source of wind would 'wick' away enough heat to actually heat the medium the wind is occurring in?