As reporter she worked for the literary review magazines BLM and Ord and Bild, and also in daily newspapers: Expressen, Aftonbladet and Stockholms-Tidningen.
In 1959, Axelsson debuted with her first collection of poetry: Goalless (Mållös), and then she travelled extensively, with lengthy stays in Latin America, France and Greece.
Later, she wrote Stones in the mouth (Stenar i munnen), published under the male pseudonym Jan Olov Hedlund, describing the terror and repression of Greece under the military junta.
[2] Axelsson translated into Swedish a remarkable number of authors, among them: Pablo Neruda, Federico García Lorca, Jorge Luis Borges, Harold Pinter, Yiannis Ritsos, Octavio Paz, Sergio Badilla Castillo and Juan Cameron.
The author's trilogy which began with A dreamed life (Drömmen om ett liv, 1978),[3] and finished with The night season (Nattens arstid, 1989) was bestowed with numerous awards, from places such as the Swedish Academy as well as from several international cultural institutions.