I have a seized alternator on my bench that stopped a car from starting. It happens.

If you have hydraulic power steering, you want to wait at least 30 seconds to drive off after turning the car on when it’s extremely cold. The pressure in that system is insanely high with cold fluid, and one of the most common cold-weather tow-ins is a burst power steering line from someone turning their car on and cranking the wheel to the stop straight away.