Glad to hear that you and the wife are OK and not more seriously injured, that is the most important thing.
I would hope that they can get an adjuster to look at it quickly, get an estimate and then get it fixed for you.
In a lot of cases the insurance company will not talk to you until you can get a copy of the police report which shows their client at fault.
Good luck and again, glad you are OK and a speedy recovery to your wife.