I wouldn't drive it either, that rear left hand light cluster looks like it has been pulled in a tad at the trailing wing edge.

As Dembo and LG say, until you can get the chassis / geo checked i'd get a lift or a taxi or use the bus.

 

You don't have to use the repair company that your Insurers tell you to take the car to. It's your choice.
Contact your local Honda Stealer and see if they'll provide a courtesy car while thet repair yours.
I've done this a couple of times and the only additional cost was an admin fee for the insurance cover.

Don't expect a better repair just because it's a dealer.