After taking a Postgraduate Certificate in Education at King's College London in 1981, she worked as a teacher at Beverley School in New Malden, Surrey from 1981 to 1985.

[4] She was Minister of State for Women in the Cabinet Office from June to November 2001 before rejoining 10 Downing Street as Director of Government Relations.

[9][10] She was a non-executive director of Southern Cross Healthcare from 2006 until it had severe financial problems in 2011, before the company declared insolvency the following year.

[13] In July 2017 Morgan was appointed as senior non-executive director of building and support services company Carillion, serving on the audit, business integrity, nomination, remuneration and sustainability committees.

[21] In February 2019, it was announced that Morgan would succeed Nicola Padfield as Master of Fitzwilliam College, Cambridge in October 2019.