Drunk driver rear-ended my car. Any ideas why its smoking like this now?

The other night a drunk driver drove into my neighbours car which hit my car in the back, leading my car to lightly hit the car in front of it.

Outside of the minor cosmetic damagesI thought nothing was wrong until I turned it on and saw the smoke plume.

Any ideas why it’s so bad?

Unfortunately, my insurance refuses to cover me so I’m trying to get this fixed on my own.