From 1998 until 2005, Parker played Sister Teresa (Terri) Sullivan, a nurse and former nun, in the Australian medical drama series All Saints, for which she was awarded a number of Logies, including 'Most Popular Actress' in 2001. This saw her win the award for the fourth time, having already won 3 times from 1991–1993 for her role on A Country Practice. In 2001 & 2002 Parker won the Gold Logie or 'Most Popular TV Personality' firmly cementing her place as an Australian television favourite.