The event is being played at the Magnolia Grove course on the Robert Trent Jones Golf Trail. Last year, the course hosted the LPGA Tournament of Champions, won by Paula Creamer.
Creamer shot a 78 Thursday and was tied for 117th place.
Despite her budding career as a fashion model, Rawson said her No. 1 goal is to excel in golf.
"I love competing," she said. "It's fun to see how good you can do and how low you can shoot."
2014: The Year in Fashion [PHOTOS]
UPI Sports Results for September 19, 2014