Exactly right.
Alouette, your car is very likely to be sold as salvage at an auto auction and rebuilt by a shop which specializes in supplying the used car trade. I have seen many cars sold at salvage auctions with worse damage than I can see in the photo.
There are 2 things I see about Kenny Bunk's advice that I think you should consider before deciding which way to go. First and most importantly, you will probably find somewhere in the fine print of your policy that the insurer retains salvage rights if the car is totaled out. I hope I'm wrong, and it might be worth a nominal cost to have an attorney examine your policy if you decide to go that route and the insurer balks.
Second, if you have the car repaired be as certain as possible that the rebuilder is both scrupulously honest and technically qualified to do the work properly. Ask to speak to some of his former customers and find out if they are satisfied with their repair job. If you have any doubts about the shop's honesty or capability keep looking.
Repairing major body damage to a modern unibody car requires a high degree of skill and experience to do the job right. For every car that is rebuilt satisfactorily after major body and/or unibody damage, I would estimate that there are another 2 or 3 that are not entirely satisfactory on some point and will never be quite the same as before. It may not be anything that you would notice or that would significantly affect it's serviceability. But when you go to trade it in, a new car dealership's appraiser is almost sure to see the telltale signs of a less than perfect major repair. And if he does, the dealership will use that as an arguing point for a lower than normal trade in offer. Just something to consider before you decide which way you want to go.
On the money there. Modern cars are built up from welded box sections which are welded to other boxes. They are incredibly strong, and absorb damage that used to kill folks in the olden days, in their heavier box panel on frame cars. But, as epow says, the shop has to have the experience and the equipment to fix it right. Fortunately, nowadays, many do. Be careful and good luck.