Thyrring graduated from Aarhus University in 1982 with a Cand.scient.pol. degree.[1] From 1984 to 1993, she worked in the Danish Ministry of Taxation.[2] She then worked for a year as an attaché at the Representation of Denmark to the European Union.[2]
In 1995, Thyrring became a Finance Manager at the Ministry of the Environment.[2] From 1999 to 2003, she was Deputy Chief of Staff in the Cabinet of Environment Commissioner Ritt Bjerregaard.[2] In 2003 she became head of the environmental policy area at the Danish Ministry of the Environment.[2] Then from 2007 until 2012, she was Head of Department in the Ministry of the Environment.[3]
In 2012, she left the Ministry of the Environment when she was appointed by the Ministry of the Interior of Denmark to conduct a study of the state of municipal-level democracy in Denmark.[4] In 2013, she became Director of the Danish Meteorological Institute.[2] At the Danish Meteorological Institute, she was involved in making the organization more public-facing, and making use of the large stores of weather-related data that it had.[5]
Thyrring was awarded the Knight's Cross of the 1st degree of the Order of the Dannebrog in 2012.[6]