Professor Rymer qualified with MBCHB in 1981 from the University of Auckland and commenced her specialist training in New Zealand. She moved to the UK in 1987 and became a member of the Royal College of Obstetricians and Gynaecologists (RCOG) in 1987 and fellow of The Royal Australian and New Zealand College of Obstetricians and Gynaecologists (RANZCOG) in 1990. She was awarded her MD thesis from the University of Auckland in 1994 and was made fellow of the RCOG in 2005. She was made Professor of Obstetrics and Gynaecology at KCL in 2005 and Dean of Undergraduate Medicine in 2010.

Her areas of special interest are Minimal Access Surgery, Ovarian Failure, Medical Education and Female Genital Mutilation. She is an educational supervisor for specialist trainees and a preceptor for specialist advanced training modules in minimal access surgery, menopause and education. She has published over 140 peer review papers and 15 textbooks.

Other extramural positions include: Member of the RCOG Council 1997-2003 and 2010-2016; Member of the British Menopause Society Council 1986-2002 and 2010-16; she is currently on the General Medical Council team for assessing new Medical Schools. In 2016 she became Vice President (Education) for RCOG.