i would think if it was a transmission problem it would have had signs of problems such as slipping etc? The car will shift gears it just wont go any where?
I have a 2000 ford taurus my son was making a left handed uturn and the car stop on 2000 Ford Taurus
Start by checking the fluid level with the car warmed up and in park. If the fluid is up to the proper level, then you may have to tow your car to a transmission shop.