I'm wondering if you could tell the tenant and the police to make the repairs as it's between them. I know this is a useless legal argument but hear me out...
The result is neither party makes the repairs, so the door goes unfixed.
The tenant complains stating the property is not secure any you respond saying it's between the tenant and the police. Give them the option of releasing them from the lease.
They move out, you fix the door and get a new tenant.
I imagine you'd be denying the tenant a secure property; I'm just thinking out loud.
The result is neither party makes the repairs, so the door goes unfixed.
The tenant complains stating the property is not secure any you respond saying it's between the tenant and the police. Give them the option of releasing them from the lease.
They move out, you fix the door and get a new tenant.
I imagine you'd be denying the tenant a secure property; I'm just thinking out loud.