Ingeborg Appel née Schrøder (26 June 1869, Askov—5 November 1948, Brørup) was a Danish educator who was active at Askov Folk High School.
As a teenager, she became interested in teaching gymnastics which she later studied at the Swedish School of Sport and Health Sciences in Stockholm.
From 1887 to 1889, she was one of the first Danish women to study at the Swedish School of Sport and Health Sciences (then known as Gymnastiska Centralinstitutet) in Stockholm.
In September 1891, she married the folk high school principal and government minister Jacob Christian Lindberg Appel (1866–1931) with whom she had four children: Margrethe (1898), Cornelius (1901), Julie (1901) and Charlotte (1906).
It was mainly as a result of her enthusiasm that gymnastics began to be taught in rural areas throughout Denmark as she introduced the subject to folk high school associations and parish meetings.