From 1996 to 1998, Dyhr was leader of the
Popular Socialist Youth of Denmark, which is the youth wing of the Green Left. In 2014, Dyhr was elected chairman of the Green Left, succeeding
Annette Vilhelmsen. In the
2019 Danish general election, the party ran on a platform of a minimum number of childcare workers, and a national climate law, getting 7,7% of the vote. In the
2022 Danish general election, the
red bloc government led by
Mette Frederiksen won a narrow majority; however, both before and after the election, Frederiksen instead called for the formation of a
grand coalition government. The formation of the
Frederiksen II Cabinet made SF the largest party in the opposition with 15 seats, an increase of one compared to the 2019 election. On 20 March 2022, the party congress voted for the official English name of the party to be "Green Left", as the previous English name ("Socialist People's Party", a literal translation of the Danish name; the party abbreviation of SF continued to be used by the party in all English language texts) sounded like Eastern Europe's former
Communist parties. After the vote, Dyhr said: "It's reminiscent of the communist parties in Russia and China. And we have no interest in that. We are far from them. We actually arose as a reaction to them." Since the November 2022 general election, where the party got 8,1% of the vote, the Green Left began to rose in the polls, getting to 17,7% in a 2024 Megafon poll. In the
2024 European Parliament election in Denmark, the Green Left won the most votes of any party, winning a national election in Denmark for the first time, and elected 3
MEPs. As a result of this success, Dyhr argued that the largest party in the red bloc should hold the
Prime Minister of Denmark post. In December 2025, a Prime Minister from the Green Left over one from the
Social Democrats was preferred by the
Red–Green Alliance, although the Green Left stated they do not see themselves getting the position any time soon. In the
2026 Danish general election, the red bloc won a relative but not absolute majority, with her party becoming the second most voted party with 11.6% of the vote. As a result, the Green Left gained 5 seats, becoming the second-largest party in the Folketing with 20 seats. Dyhr said of the party's "historic" success that the Danish people had provided it with a mandate and she was "ready to negotiate"; however, she made it clear that if welfare and the green transition were not prioritised, the party would remain in opposition. ==Political views==