This is a question with a subjective answer, not a legal one.
"Should I have to turn in my gun"
legally, nobody is forced to turn in their guns because of mental illness. There are fourteen states in the United State that have laws to be able to seize weapons from mentally unstable individuals under what is known as "extreme risk protection orders(ERPOs)", these states are:
California, Connecticut, Delaware, Florida, Illinois, Indiana, Maryland, Massachusetts, New Jersey, New York, Oregon, Rhode Island, Vermont, and Washington.
North Caroline only restricts mentally ill individuals from buying firearms, not from owning them. Please see this sitePossession of firearms by people with mental illness for more information about different states laws on mental illness and firearm use.