She taught in the Département d'études françaises at Concordia University (1980–97), where she also served as vice-dean in the Faculty of Arts and Science.

In 1999, she was inducted as an officer in the Ordre de la Pléiade, Ordre de la Francophonie et du dialogue des cultures, for her work in promoting the French language and intercultural relations.

She edited (with Jean Delisle) Translators through History, also published in French as Les traducteurs dans l'histoire and in Portuguese as Os Tradutores Na Historia.

[1] On December 22, 2010, Concordia University issued a statement announcing that Woodsworth had stepped down from her position for personal reasons.

In 2022, she won the Governor General's Award for French to English translation for History of the Jews in Quebec, her translation of Pierre Anctil's Histoire des juifs du Québec, at the 2022 Governor General's Awards.