So sorry to hear about the storm and the damage it caused. In your case, your policy likely will cover the damage because it was caused by a wind storm and not negligence.
Standard home insurance is likely to cover certain perils when it comes to roof damage, such as:
However, if a homeowners roof is leaking because it’s old and the shingles need to be replaced or they haven’t maintained the roof properly, then they’re out of luck. Such repairs would likely not be covered by insurance
Best wishes to you on recovering from the wind storm. It may take time, but thankfully roofs can be repaired and replaced.