Car damage caused by a branch

Evening, I just drove on a main road in Dortmund over a fallen branch. The ast has in the front the dipped light, mirror and various.Kratzer at the passenger side. I immediately stopped on the road, and called the police. The policeman took my damage with pictures and photographed the branch. Had then asked him if someone would probably pay for the damage… He said the city has to make sure that no big branches land on the road,and d he Staft probably is liable for this in the normal case. He then indicated me as an accident-damaged person in the accident arc and practically declared the most responsible city of Dortmund. He said to me the city of Dortmund would report to my insurance company in 3 days at the latest. Now is my question do you think that I will get the damage paid?