On March 12–13, Rodriguez competed at the MTM Tournament in Ljubljana, Slovenia finishing 4th in the all-around with a total of 70.750 points, in the apparatus finals; she won a silver in ball. On June 17–19, Rodriguez competed at the 2016 European Championships where she finished in 9th place with a total of 72.049 points. On July 1–3, Ashirbayeva competed at the 2016 Berlin World Cup finishing 8th in the all-around with a total of 70.250 points and qualified to all 4 apparatus finals. On August 19–20, Rodriguez competed at the 2016 Summer Olympics held in Rio de Janeiro, Brazil. She qualified to the rhythmic gymnastics individual all-around final where she finished in 8th place. She announced her retired from her competitive sports after the Olympic Games.