Looks like a rear driver quarter panel and bumper. Trunk latch survived.  Might not be as bad as you think?
Get on the phone with their insurance and start playing hard ball.  Demand a loaner, and have it taken to a pro shop where a expert can tell you if they can fix it. Replace the panels, pocket a few bucks, buy bitcoin.  Glad you're okay tho, sorry Roya 

 I think they write it off cause it's cheaper to replace than to repair.  

 Four wheel steering though so it might not be that bad actually if you can find body panels.  

 Agreed. You might can get away with a rear qp and a bumper replacement. If I was there I could tell you with a higher degree of confidence