Greene joined the cast of the BBC Radio 4 radio soap opera "" on 25 July 1957. She is the long-standing voice of (née Patterson). She was the sixth, and last, actress to audition for the role and thought she would not be cast. Greene found the first six weeks tough due to her inexperience. She recalled that on her second day, she took stage directions too far and threw a glass of water over , who portrayed , and nearly electrocuted him. This impressed the creator and he kept her in the serial. She was paid seven guineas a week. Greene was tempted to leave the series when her son was a toddler but felt a loyalty to the programme and stayed. She was paid £16,000 for her work on the series in 2017.