Can you breathe in hot water or cold water?

Answer 1

You can breathe in either.

Given a normal environment both hot and cold water will evaporate and become water vapour (change from a liquid to a gas). All else being equal the hot water will evaporate faster, but the cold water will still evaporate. For example, when you sweat, your sweat is not particularly hot, but it is the evaporation of the sweat that cools you down.

You can therefore breathe in the water vapour from either hot or cold water.

Just for absolute clarification - the above assumes the questioner is not asking if you can breathe under water; which clearly you can't unless there is something a little fishy about your character! :-)