The answer to 'why is my drain trap frozen' is that the drain trap, the U-shaped pipe under your sink, has likely frozen due to extremely cold temperatures. This can happen when the temperature drops below freezing and the water in the trap freezes, blocking the drain.
Some common causes include drafty pipes, poor insulation, or an unheated space like a crawl space or basement where the trap is located. Symptoms include slow or completely blocked drains, gurgling sounds, and potentially water backing up.