Edda is a female name.
Edda is an Old High German name, but as well a short form of names beginning witg “Ed-“, e.g. Edeltraut, Edwina or Edith. Besides, Edda is of Old Norse origin and is an Italian short form of Hedda or Hedwig.
Edda means “blessing”, “wealth” and “fortune” in Germanic, “great-grandmother” in Old Norse and “warrior in the war” in Italian.