Høegh has worked in a variety of media, including painting, drawing, printmaking (lithographs), and sculpting.
She frequently incorporates legend, nature, and provincial mythos into her works, devising strong connections between her art and local tradition.
[citation needed] Her work in the 1970s "was foundational for how she generated relational spaces of intimacy within the politics of representation," and her pieces "center Kalaallit identity through composite vignettes that relationally center women (and the artist) and the land in intergenerational knowledge transfer".
[4] She is best known for heading the art project "Stone and Man" (1993-1994), which established a sculpture garden in her home town of Qaqortoq in southern Greenland.
[citation needed] Born in Qullissat on Disko Island, she moved to Qaqortoq in her childhood, and has lived in southern Greenland ever since.