Should I really have to pay for this?

So today at work, I went to go on my lunch and saw that my back window on my car was smashed, i guess a branch fell on it from one of the trees. Now they know that the trees are a hazard at my work, and okay maybe i should not have parked under one of the trees during a time when things were icey but there was no other parking and i really wasnt right under the tree, probably would have missed my car if it was. either way its 210 and i kind of feel my work should pay for this. I mean the other day they didnt even salt the driveway and we all had to slide down the hill to leave the work place. and literally surf the ice to get to our cars. My insurance deductible would be 500 so its not worth it togo that route. what do you think?