In the 1950s, she moved to New York City and performed on stage. Rodd spent the 1960s appearing on Broadway in such plays as Neil Simon's The Last of the Red Hot Lovers. In 1971, she appeared in the drama film T.R. Baskin with Candice Bergen and the black comedy Little Murders opposite Elliott Gould. Her other film credits included roles in Handle with Care (1977) and Last Embrace (1979).

During the 1970s, she appeared in several made-for-television productions, and continued making appearances on television shows through the next three decades. One of these appearances was as Carol Traynor, the role later played by Actress Adrienne Barbeau in an episode of All in the Family which was the pilot for the subsequent series, Maude. (She had also played another character on a previous All in the Family episode, "Mike's Mysterious Son", earlier that same season.)

Her most recent roles were in a 2003 episode of the television series Without a Trace, the 2012 short film Parallax and the long-running soap opera The Young and the Restless.