Tomatoes are generally grown as annuals, unless you have a way to keep them warm through the winter--even in the low desert. Yours might survive, but you might think about planting a new one when the weather's a little warmer.
The Phoenix area basically has two short growing seasons--Spring and Fall. It's too cold in Winter and too hot in Summer. So, your Cooperative Extension recommends putting out tomato transplants in early March for an early summer crop.
There are a number of other vegetables that do very well through the Winter, even if there is cold and frost. Kale, lettuce and cabbage come to mind, I'm sure there are others. They'll fade away when it gets hot, but do just fine through the winter.
Here's a link to some information you might find helpful:
https://extension.arizona.edu/...