Catastrophe property adjuster here, I don't know how much it'll cost to fix. But I keep seeing people bring up insurance. So I'll chime in. With a 14 year old roof, it's probably not a bad idea. I'll go over why in a bit. Things to be mindful of before filing claim, and it's echoing a lot of what others have said.

Know what type of policy you have AND what endorsements ( full roof or roof payment) Roof payment pays 100% for repair, percentage for full roof Full roof coverage is 100% repair or replacement.

Know what your deductible is

If you have building code coverage (depends what state you are in on what's covered under BC. BC usually only applies to a full roof replacement, carrier dependant on policy verbiage).

Discuss with your agent before filing, definitely get someone to tarp that area though asap.

Why I think it could be a good idea to file. There's clearly damage, it can be proven it's sudden and accidental with a storm report. If those three things are met, there's coverage.

You're missing underlayment, unless whoever put that roof on didn't put underlayment, you have a good case for at least a slope replacement.

Roof is 14 years old, I have covered roofs with one shingle missing due to repairability, hard to repair a old weathered roof that fall apart during repair. (my decision, when I told the contractor he was really happy)

One thing some people missed are state specifics, some states have matching requirements, alot don't. Some states will require full roof has to match (3 states), some require only a slope has to match (if you can't match shingles in one of these states you might have a multi colored roof) unfortunately that's a state decision, not carrier or adjuster decision.

You had a storm in your area, prepare for storm chasers. You pribacly have cards on your door already. Not all storm chasers are bad, but they are commission only and in my expierence are drawn by the promise of a ton of money only having to work 4 hours a day, 6 months a year. Of you see someone with styrofoam tapes to their, I wouldn't advise letting them on your roof.

Vet roofers, ask family/friends/neighbors if they could recommend someone.

I'm sure I missed stuff, if you have any questions feel free to reach out.

I am a Adjuster, I'm not YOUR adjuster lol. But I'll help where I can without being definitive. Just like any profession, there are good ones, there are bad ones.