I doubt you'd care for hot water in the dessert. You could just fill a black bag. Cool clean water is probably preferential.
Edit:
I just tried to find out about night time temperatures. On the wikipedia page 'desert', it suggests it only gets as cold as 0 degrees C. Although I did find a remark that Antarctica was technically a desert.
I just camped out in temperatures below 0 weekend gone, and it wasn't that comfortable, but I was staying under a thin piece of plastic. If I'd have been a bit better prepared it would have been much more bearable.
My relatives in Michigan mentioned that there's a Polar Bear scouting award for camping when it's below 0°F, or -18°C. My own sleeping bag is only rated for -2°C.