It is the rare occasion where you hit something while driving and it is not counted against you as a responsible accident. Most states and insurance companies will not consider this kind of claim a responsible accident. Contact your insurance company to find out how they view this and make sure that there would not be charges associated with a comprehensive claim.
Comprehensive insurance is a coverage that helps pay to replace or repair your vehicle if it's stolen or damaged in an incident that's not a collision. Comprehensive typically covers damage from fire, vandalism or falling objects (like a tree or hail). If you're financing or leasing your car, your lender likely requires comprehensive coverage. If you own your vehicle outright, it's an optional coverage on your car insurance policy.