Incidental accident: loss of value compensation?

Today a woman hit my two-year-old Toyota Corolla. The guilt question was clear and undisputed. She just had too little distance and the road was wet. My braking was perfectly fine. No one was injured, the speed was not very high. She immediately reported this to her insurance and she immediately offered me that she would handle everything. I now have a rented car and the car is in the workshop. Now my question(s): * Can after the repair, for example to the TÜV and the correctness of the repair? Does the insurance still have to pay or do I have to believe the workshop that it has worked properly? * Can I claim a loss of value as compensation, if yes, how much? After all, my car became the “accident vehicle”. * What else do I have to take into account?