Havlíčková won six medals at the ICF Canoe Slalom World Championships with a gold (C1: 2011), four silvers (C1: 2015; C1 team: 2013, 2015, 2018) and a bronze (C1 team: 2019). She won the overall world cup title in the C1 class in 2014. She also won five medals at the European Championships (3 silvers and 2 bronzes).