Savić was born in 1888, in the village of Koprivnica, near Novi Pazar, in Serbia. In 1912, her brother received call-up papers for mobilization for the First Balkan War. She chose to go in his place—cutting her hair and donning men's clothes and joining the Serbian army. She quickly saw combat and received her first medal and was promoted to corporal in the Battle of Bregalnica. Engaged in battle, she sustained wounds and it was only then, when recovering from her injuries in hospital, that her true gender was revealed, much to the surprise of the attending physicians.