Dame Anne Elisabeth Mueller, DCB (15 October 1930 – 8 July 2000) was a British civil servant and academic. She was Second Permanent Secretary at the Cabinet Office from 1984 to 1987 and then at HM Treasury from 1987 to 1990. She was Chancellor of De Montfort University from June 1991 until 1995. She was the first woman to become a Permanent Secretary at HM Treasury; the second was Sharon White in 2013. An obituary in The Guardian described her as "the most successful woman civil servant of her generation".