Brussig was born in Leipzig with visual impairments and competes in B2 classification events. She made her Paralympic debut at the 2008 Summer Paralympics in Beijing, winning a bronze medal in the under 48 kg weight class. She lost in the quarterfinal to Russian judoka Victoria Potapova but won the repechage against Cuban Maria Gonzalez to claim the bronze. Four years later, in the London Games, Brussig claimed gold by beating Potapova in the quarterfinal and Yuliya Halinska in the semifinal. This put Brussig into the final for the first time where she faced and defeated Lee Kai Lin. When defending her title at the 2016 Games in Rio de Janeiro she won the semifinal against Halinska but then lost in the final to world champion Li Liqing, earning herself a silver medal.