After studying theatre at Northwestern University, she moved to New York City and began a successful career as a stage actress.

She made her Broadway debut in late 1964 as a replacement in the musical Oh, What a Lovely War, assuming the roles placed by Linda Loftis.

From December 1969 to March 1971, Rodd performed in Neil Simon's The Last of the Red Hot Lovers on Broadway opposite Linda Lavin, Doris Roberts, and James Coco.

[4] She had also played another character on a previous All in the Family episode, "Mike's Mysterious Son", earlier that same season.

Other guest appearances on television included M*A*S*H, Match Game '76, Murder, She Wrote, and a recurring role as Stanley Riverside's wife on Trapper John, M.D.

[10] In 1989 and 1994, she starred in two separate national tours of Fiddler on the Roof, as Golde opposite both Theodore Bikel[11] and Topol[12] as Tevye, respectively.

She also appeared 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.