Edna Goren was born Edna Badihi in Tel Aviv on October 27, 1943, and was discovered at sixteen by singer Benny Berman. Drafted in 1961, she served as a soloist with the Israeli Air Force band, where she has credited pianist Ziggy Skarbanik with teaching her jazz. Around 1964 she began performing with the ensemble of accordionist and jazz pioneer Maurice "Pisi" Osherowitz at Tel Aviv's Dan Hotel, and later recorded at the Studio 28 recording facility Osherowitz opened in 1967 — he has credited his encouragement with helping her into the Air Force orchestra in the first place. In 1969 or 1970 she recorded "His Wife" ("אשתו") with composer and arranger Albert Piamenta of the Piamenta ensemble, a specific and dated connection to the Piamenta family's own corner of early Israeli jazz.

Her recording career runs from a 1966 debut EP through decades of Hed-Arzi-label albums: Jerusalem of Gold (1967), a collection of Sasha Argov songs with longtime pianist and arranger Kobi Recht (1968, reissued 2003), an album of Burt Bacharach songs (1974), and further releases into the 2000s. Press profiles have called her "Israel's Ella Fitzgerald." She has also worked as a voice actor, with a Hebrew dubbing credit on Minions: The Rise of Gru (2022). As of a 2021 profile she had relocated from Givatayim to Ashdod and continued performing, including an appearance at a New Orleans-themed jazz festival. No death has been reported for her as of this writing.

Goren's career sits squarely in the vocal-jazz and Israeli-standards tradition — an interpreter of composers' songbooks (Sasha Argov, Bacharach) rather than a writer of her own material, in the mold of the "Israel's Ella Fitzgerald" comparison repeated in Israeli press coverage of her. Her earliest and most specifically jazz-adjacent credential is the 1969/1970 recording with Albert Piamenta, placing her inside the same small circle of Tel Aviv-based jazz arrangers and bandleaders — alongside Osherowitz and the Piamenta family — that produced some of Israel's first jazz recordings.