Acting
During her early film career, Hunnicutt was typecast as a red-haired sexpot. She portrayed Emaline Fetty, a con woman trying to extort money from the Clampetts in two episodes of The Beverly Hillbillies in 1966. Her film debut was a small role was in the motorcycle film The Wild Angels (1966), which starred Peter Fonda. Bruce Dern, and Diane Ladd. She co-starred with George Peppard in the detective film P.J. (1968) and with James Garner in the detective film Marlowe (1969), in which her character was a glamorous Hollywood actress.
She moved to England with husband David Hemmings in 1970. She and Hemmings co-starred in two horror films in the early 1970s, Fragment of Fear (1970) and Voices (1973). She played Charlotte Stant in the Jack Pulman television adaptation (1972) of Henry James's The Golden Bowl. She played Ann Barrett in The Legend of Hell House (1973), and Tsarina Alexandra in the television miniseries Fall of Eagles (1974). She played a supporting role in the horror film The Spiral Staircase in 1975, which starred Jacqueline Bisset. She appeared as a housewife and mother in an episode of The Martian Chronicles in 1979. She appeared as Irene Adler, opposite Jeremy Brett, in the first episode of the TV series The Adventures of Sherlock Holmes ("A Scandal in Bohemia") in 1984. She also appeared in another Marlowe mystery in an episode of HBO's Philip Marlowe, Private Eye (1983), this time starring Powers Boothe. She had a supporting role in the thriller Target (1985), co-starring Gene Hackman and Matt Dillon and another supporting role in the horror film Dream Lover (1986). Hunnicutt returned to the United States in 1989 to play the role of Vanessa Beaumont in Dallas, making semi-regular appearances until 1991.
In 2012, Hunnicutt was featured in an episode of the HGTV reality show Selling London, in which she presented the Primrose Hill property where she and her second husband, journalist and editor Simon Jenkins, lived for three decades.