Besides evaporation, blowing on something which is very hot will bring it closer to room (or breath) temperature by removing the air right next to it which has been heated up already and is ‘protecting’ the hot item a bit from direct exposure to the room air. When you blow that hot air away the hot item then touches the room air and heats that up, which cools it down.

The same applies to cold things, you can melt ice cream for example much faster by blowing on it even if you use a fan instead of hot breath.