She moved to London to undertake her nursing training at St. Bartholomew's Hospital, where she was the first recipient of the Isla Stewart Scholarship.
This funded a year of training in New York, which she took at Teacher's College, Columbia, in hospital economics and teaching in American nursing schools.
[2] After returning to the UK, Rundle was appointed Assistant Matron under Rachael Cox-Davies at the Royal Free Hospital.
During the First World War, from 1915–16, Rundle was Matron of the 1st London General Hospital Territorial Army Nursing Service.
She co-ordinated some of the College's early work in nursing education, employment rights and pastoral care for members.