Wileman's early career was spent as a school teacher. From 1931 to 1937, she was an assistant at
The Abbey School, Reading, an all-girls
private school in
Reading. Then, from 1937 to 1940, she was Senior Tutor at
Queen's College, London, an all-girls independent school in the
City of Westminster. In 1940, Wileman moved into academia and became a
lecturer at
St Katherine's College, a university college in
Warrington, Cheshire that offered
higher education to women. In 1944, she moved to
Bedford College,
University of London. There, she was a tutor and resident warden until she moved to Oxford. In 1953, Wileman was appointed
Principal of
Hughes Hall, Cambridge. At the time, Hughes Hall was all-female and the smallest college of the
University of Cambridge with a maximum of 70 students. Under her leadership, the college began accepting students to study for degrees in addition to education, she greatly increased the number of students, and the college became the first all-women college to accept male students in 1973. In addition to heading a college, she was a university lecturer in education and Director of Women Students in the
Faculty of Education. Wileman retired in 1973 and was appointed an
honorary fellow of Hughes Hall, Cambridge. She died on 12 August 2014, aged 106. ==Personal life==