Final answer:
An insurer incorporated in New Jersey but operating in Tennessee is known as a foreign insurer, since it is incorporated in a different state from where it operates.
Step-by-step explanation:
In Tennessee, an insurer that is incorporated in New Jersey and conducts business in Tennessee is referred to as a foreign insurer. In the context of insurance regulation, a domestic insurer is one that is incorporated (chartered) in Tennessee. Since the company in question is incorporated in New Jersey, it does not qualify as a domestic insurer in Tennessee. An alien insurer refers to an insurance company that is incorporated in a country outside the United States, which does not apply here. Finally, the term non-resident insurer is not a standard term in insurance regulation for describing this situation.