Annika Jacobina Olsen (born 13 March 1975, in Tórshavn, grew up in Vágur) is a Faroese politician, high school teacher and former swimmer.

[3] Annika Olsen has an MA in Nordic languages and literature with a supplementary subject in religion.

At the general election 2015, the People's Party lost two seats in the Faroese parliament, they got 18.9% of the votes and 6 members.

Three days later, she stated that she regretted the decision and left Progress, also saying she would not be chairman of the Fiscal committee and that she needed some time alone with her family.

[7] On 11 November 2022, Annika Olsen announced that she is leaving the People's Party due to policy disagreements and internal struggles.