Umurungi was the only female swimmer representing Rwanda at the 2016 Summer Olympics. She and male swimmer Eloi Imaniraguha were selected to represent Rwanda after the International Olympic Committee extended an invitation to the country to send two swimmers; otherwise, Rwandan athletes in this category do not normally qualify through the usual qualifications process. Umurungi competed in the 100 metre butterfly. She was drawn in heat one, a heat containing four other athletes alongside Umurungi. Before the race she told "The New Times", "I have been training for the whole year with my coach, though it has been difficult because it’s not easy to study and do sport at the same time, I want to do my best". In the race on 6 August 2016, Umurungi swam a time of one minute and 11.92 seconds. Umurungi's time was the second slowest out of 44 finishing athletes, with Umurungi only quicker than Qatari Nada Arkaji, who swam approximately seven seconds slower than Umurungi. Umurungi's time was 13.17 seconds slower than the slowest athlete to progress to the next round and, therefore, she was eliminated.