A named-peril is a risk that’s explicitly stated in your policy. These perils include fire, burglary, or wind. For example, if a burglar breaks a window to enter your home, your policy will cover it if burglary is a named peril. However, if it is not explicitly stated on your policy, then your insurer may refuse to cover it.
Most policies cover damage derived from natural disasters. The policy may have certain limits for overall repairs. For instance, if the property is completed destroyed, then the landlord may choose to use their insurance to claim the property as opposed to going through your insurance. Nevertheless, if a window gets shattered during a hailstorm, your policy will most likely cover it unless it explicitly states otherwise.