Does spinning wheels in snow damage the automatic transmission?

Ok, this is more complex than I thought, so I’ll describe exactly what happened. The car is a 2006 Subaru Outback AWD. With good traction, most of the power goes to the front, but the transmission will also send power to the rear as needed. I was turning around in a parking lot, and got stuck (wheels spinning) in an area where the snow was a little deeper. I gave it a lot of gas (whech reved the engine) and was free within seconds. Total time for everything was well under a minute, and I never tried rocking the car. But just after freeing the car, I noticed a slight burning smell. Today, the car is driving fine, as if nothing happened.