Front Door Damage - Who is Responsible?

[Graham Watts]

A tenant claims extreme wind blew open the front door of our rental, causing it to split down the center. There was extreme wind at that time but it seems like the door slammed shut instead of being blown open.  An emergency repair is needed because the front door cannot close which is a safety issue.

Who is responsible for paying for the repair? 

Should I start a home insurance claim? Is this covered by their renters insurance? Any advice is appreciated.