Poodles have a pretty thick coat of fur and can withstand some cold weather so they don't get too cold as easily as some other dogs.
But still even with the thick fur coat poodles should not be left out in the cold weather for too long especially if the weather gets to below freezing.
Always bring the Poodle or any other dog inside the house or somewhere warm when it gets too cold and especially if it gets to below freezing temperatures.
You can even buy a dog coat to put on the Poodle which will keep the Poodle even warmer and walking the Poodle will also keep him/her warmer and healthy.