“I’m sorry to hear about your home. I’m sure that was a terrifying experience!
Although most home insurance policies exclude water damage unless there is a specific endorsement, water damage resulting from a tree or wind is covered. The proximate cause of your roof damage was the tree. The water damage was a side effect of that.
Alternatively, if water had caused a hole in your roof and damaged your home, you couldn’t submit a claim, unless you had a water damage endorsement or flood insurance.
To be sure, you can reach out to your insurance company. They can explain the claims process and provide more details on your coverage.