Prime Care Medical Center. Family Medicine, Nursing (Nurse Practitioner) • 6 Providers. 270 E Court Ave Ste B, Selmer TN, 38375. Make an Appointment. (731) 645-7932. Telehealth services availalble. Prime Care Medical Center is a medical group practice located in Selmer, TN that specializes in Family Medicine and Nursing (Nurse Practitioner)..