Coman's parents were Gheorghe (1915-1964), a priest who spent years in Communist prisons and died in an accident weeks after his release in a general amnesty, and Otilia (Diacu), an accountant. Her sister Geta was born in 1947. In 1960 she married the writer Romulus Rusan.
After her debut in 1959, in Tribuna, Cluj, where she signed for the first time as Ana Blandiana, she was published in the anthology 30 de poeți tineri ("30 Young Poets"). In 1963, after a four-year interdiction due to her father's status, she again published in Contemporanul (edited by George Ivașcu).