Particularly noted as a junior player, in 1964 at the age of 14 she won a rare double in the Western Australian Women's open, taking both the Open and Junior titles. She won the Australian junior championship in 1967 and 1968 and reached the final of the Wimbledon Junior Invitational in 1968. In that year she also won the French and United States Junior Championships.[2] In 1968, she won the Australian and French Open Junior titles and the Australian Open Junior title again the following year.
Hunt was seeded once in the United States championships (number 8 in 1974); twice at the French Championships (number 4 in 1976 and 7 in 1977); and once at the Australian Championships (number 5 in 1974). She was runner-up in the 1971 Virginia Slims tournament, losing to Margaret Court, and in 1976 reached the final of the Italian Open. In 1978, she made her first international open victory with a win in the Swiss Open. She reached the finals of the Canadian and Italian Opens in the same year as well as the quarterfinals at the US Open.
As a doubles player, she won the US Open Hardcourt and Claycourt titles with Evonne Goolagong.