Seeking a low income, long term Lease permanent residence

I'm a 60 y/o white female who is retired., quiet, clean. No pets/children. Own transportation. Large efficiency to 1bed./ bth. Pender Co, New Hanover Co., NC **Preferably a Private Landlord, that could work with me; and to pay according to my income. Long term lease/ Permanent option. Good credit, rent refs. Proof of income .Have security deposit, & fees for background check. Thanks for reading.