No, there was a huge number that were infected. Also, you have to remember that the Tutsi population was about 10% of the population of Rwanda at the time, just to give you an idea of the numbers. She is definitely an anomaly. There are only two individuals who are still living who were diagnosed a year post-genocide, yet it seems like the ARVs here are really effective on the strain of HIV that is in this area.
On December 2nd, 2014. See this statement in context.