My wife drove our car to work today and had the following happen when she was leaving:

1) She started the car and it revved and then died. It was probably 35°F at the time.
2) She removed the key, put it back in and the engine wouldn’t start, but, the accessories would (radio, lights, etc.,).
3) She turned it off, removed the key, reinserted it and the car started normally.

Any thoughts on what could cause this? It worked fine on the 5 mile trip home & started up normally when she got home (turned it off and back on)...

Thanks!