In the US, the airspace is controlled by the FAA, and if there's a drone crash of any significance (serious injury to a person or more than $500 damage to property other than the drone), the drone pilot is required to report it to the FAA.
The FAA will do an investigation, and if it's found that the cause of the drone crash is that some idiot used a firearm to shoot it out of the sky, then that's going to lead to a whole lot of problems for that person.
Interfering with the operation of an aircraft in US airspace. Federal crime.
Firing a weapon in a reckless and dangerous manner. Almost certainly a crime anywhere in the US.
Those bullets have to come down someplace. Possible injury to someone or damage to property.
The disabled drone crashes someplace, damaged batteries start a fire and people are harmed and property is destroyed.
That said.
If someone is dim enough to not think through the consequences of firing a weapon into the air, or of disabling a drone mid-flight, they are probably also dim enough to think that they "have the right" to do it.
Err on the side of safety. For you and your drone.
:::EDIT:::
Also, it's a good idea to get insurance coverage for your drone operations.
There might even be a policy that will cover trained eagle attacks.