Family Doctor Clinic of Thibodaux is an urgent care center and medical clinic located at 804 S Acadia Rd in Thibodaux,LA. They are open today from 8:00AM to 5:00PM, helping you get immediate care. While . Family Doctor Clinic of Thibodaux is a walk-in clinic that is open late and after hours, patients can also conveniently book online using Solv.. This location is rated 1 stars by patients ..