After debuting at Kunstnernes Efterårsudstilling in 1970, she studied painting at the Royal Danish Academy of Fine Arts (1970–75) where she appreciated the help and encouragement she received from the German fluxus artist, Arthur Køpcke (1928-1977).
In 1996, with her partner Troels Wörsel, she began to work in Pietrasanta in Tuscany, located next to the large marble quarry, now specializing in sculpture.
[3] She created large works consisting of several sections which often spread out horizontally like islands in space without any symbolic or ideological traits.
Her use of unpredictable materials contributes to her desire to express relationships between shape and space,[2] often veering towards openness as in her Blind Date (1996), Risks Run (1994) and Einfluss (1991).
[4] In 1997, Ortwed represented Denmark at the Venice Biennale with her extensive work Tons of Circumstances supported by Hermod Lannungs Museumsfond.