After graduating, Kukuck studied piano and flute at the Berlin Musikhochschule, and in 1937 she successfully passed the examination to become a private music teacher.
In 1939 she married Dietrich Kukuck and a sympathetic state official protected her real name on the marriage certificate so she could continue to live in Germany.
[2] In 1969 Kukuck founded the chamber choir Kammerchor Blankenese, which participated in the premiere of many works with her, including the church opera The Man Moses (1986) and Ecce Homo (1991), the cantata "De Profundis" (1989), "Burning coals sung on" (1990), "And it was: Hiroshima", "Who was Nicholas of Myra?"
and "Swords into plowshares" (1995), the motets "Death Fugue", "Psalm", "Oh, the crying children night" and "O the Chimneys" (1994), "It is you, O man", "The Beatitudes" and "Everything has its time" (1995) and "Ten songs against the war" (1996).
The cantata "Who was Nicholas of Myra, how a bishop of his city saved them from famine and war" was also premiered in 1995 on the occasion of the 800th anniversary of the Hamburg Church of St. Nikolai.