 In 1916 Dwyer was the first woman in Australia to be elected a member of the Senate of the University of Sydney.In that capacity in 1918 she moved a resolution to support the introduction of legislation for women to enter the legal profession.In May 1921 she was one of the first 61 women to be appointed justices of the peace in New South Wales.Dwyer died on 3 February 1949 in Sydney, New South Wales, Australia.