Rawls was born in Spartanburg, South Carolina and grew up in Arlington, Texas. She attended the University of Texas. She started playing golf at age 17. She won the Texas Amateur in 1949 and 1950. She also won the 1949 Trans-National and the 1950 Broadmoor Invitational. In 1950, she finished second at the U.S. Women's Open as an amateur.
Professional career
Rawls turned professional in 1951 and joined the LPGA Tour. She won her first tournament that year at the Sacramento Women's Invitational Open. She would go on to win a total of 55 events on the LPGA Tour, including eight major championships. In 1959, she earned the LPGA Vare Trophy for lowest scoring average. She was the tour's leading money winner in 1952 and 1959 and finished in the top ten on the money list a total of nine times. She led the tour in wins three times, 1952 with eight, 1957 with five (tied with Patty Berg), and 1959 with ten.