After leaving MOR, Karen began working with the producer Ronni Vindahl. She focused on her solo career. The first single “Glass” caught the attention of the public and the critics. Her next singles “Maiden” and “Pilgrim” brought Karen even more popularity. They were played on Danish radio stations.
In March 2013, the singer earned a prestigious prize at Danish P3 Guld Awards. The same year, she released "Waste of Time", "Dear Boy", "XXX 88", and "Don't Wanna Dance". Later, these songs were featured in MØ’s debut studio album. At that time, many fans wanted to book MØ for their events. However, the young woman rarely agreed due to a busy schedule.
Karen’s debut studio LP, No Mythologies to Follow, came out in March 2014. To promote the album, MØ went to tour the United States. Many songs, featured in the LP, also became hits. Among them were - "Fire Rides", "Walk This Way", "Dust Is Gone", "Slow Love", "Never Wanna Know", and "Red in the Grey. The album was impressively successful. It reached the 2nd spot of Denmark’s Hitlisten, climbed to the 11th position on Top Heatseekers. In Denmark, the album earned a gold status.
In October 2015, the artist began working on her second studio album, Forever Neverland. It’s due out in October 2018. In 2015, Karen released a non-album single “Kamikaze”, which became popular in Denmark, the UK, Belgium, and Australia. It earned a platinum status in Denmark.
In May 2016, MØ presented another non-album single, “Final Song”, recorded together with Noonie Bao. The song got into top-40 of the British charts and climbed to high spots on European charts. It’s the most commercially successful song recorded by the artist.
In July 2016, together with Major Lazer and Justin Bieber, the artist recorded a single “Cold Water”. The song was successful, coming in second on Billboard Hot 100.
In September 2016, Karen presented one more non-album song "Drum", which climbed to the 21st spot on the Danish chart.
In 2017, MØ presented "Nights with You", "Nostalgia", “The Night Was Young”, and "Don't Leave". The latter became very successful in Europe and Australia and earned platinum and gold statuses all over the world. The same year Andersen released an EP When I Was Young, which reached the 8th spot of Denmark’s chart.
MØ works on new songs, tours the world, and performs live.