Weikert grew up in Vienna and started skiing during her school days. She achieved the first noteworthy results in the winter of 1934 when she was fourth in the downhill and combination and fifth in the slalom in Kitzbühel . Her first podium was achieved in 1935 with second place in the downhill of the Oskar Janssen memorial race in St. Anton . With that she got into the team for the world championship in Mürren , where her best result was the 15th place in the slalom.
At the Olympic Winter Games in Garmisch-Partenkirchen in 1936 , Weikert took 15th place in slalom and 21st place in downhill, which brought her to 18th place in the combined ranking. She had greater success at the World Championships which took place shortly afterwards in Innsbruck , where she surprisingly won the bronze medal in slalom behind Gerda Paumgarten and the Briton Evelyn Pinching . In the downhill she finished 15th and in the combination she was eleventh. In March she achieved further top results: At the Hahnenkamm races in Kitzbühel she won the slalom and took second place in the combination. She also came second in the slalom of the Arlberg-Kandahar race in St. Anton. Weikert ended her career in the winter of 1937.