Rawson was born in Adelaide, Australia. She got her break into a modeling career at age 16, when she was a finalist in the Australian "Dolly" Magazine cover contest. This opened up modeling opportunities on the catwalk, in print ads, magazines, and on television. In 1999 as an amateur golfer in Australia Rawson was the South Australian and Victoria Junior Champion plus the winner of the Jack Newton International Junior Classic. She was the leading qualifier for the 1999 and 2000 Australian Amateur Championship and was a member of the 1999 Australian National Squad.
She played collegiate golf at the University of Southern California. She was named All-Pac-10 honorable mention in 2001, 2002 and 2004.
Rawson turned professional at the end of 2004, played a full season on the Future Tour and missed the cut at the 2004 LPGA Final Qualifying Tournament. She finished third at the Ladies European Tour 2005 qualifying tournament and was a season 2006 LET rookie. On December 5, 2007, Anna notified fans via her Myspace page that she had been invited to join the LPGA tour. In 2008 she qualified for a full time tour card via Q school for the 2009 tour.