Þórunn Egilsdóttir var þingkona Framsóknarflokksins fyrir Norðausturkjördæmi frá 2013 til andláts síns árið 2021. Hún gegndi einnig embætti þingflokksformanns Framsóknarflokksins frá 2016. Þórunn var eitt helsta talsmanns landsbyggðarmála á Alþingi og naut mikils trausts fyrir hreinskilni sína og staðfestu í málflutningi.
Þórunn Egilsdóttir was a member of the Icelandic Parliament (Alþingi) for the Progressive Party representing the Northeast Constituency from 2013 until her death in 2021. She also served as chairman of the parliamentary group of the Progressive Party from 2016. Þórunn was one of the leading voices for rural affairs in Parliament and was widely respected for her straightforwardness and steadfastness in advocacy.