Schöpp is a seven-time European champion (1986, 1987, 1989, 1991, 1995, 1998, 2009), two-time World champion (1988 and 2010) and 1992 Winter Olympics champion (demonstration). Schöpp has skipped every team she has played for in international events- except when she plays at the European Mixed Curling Championships, where she usually plays third for her brother,Rainer.
Schöpp made her international debut in 1980, at the age of 15. She skipped the German team to a bronze medal at the European championships that year. She also won silver medals at the Worlds in 1986 and 1987 and a bronze 1989. She continues to curl, although she has had less success in the last decade. Her fourth place finish at the 2006 Ford World Women's Curling Championship was her highest placement since 1996 at the Worlds. She won the 2010 World Curling Championship in Swift Current, Saskatchewan, Canada with an extra-end victory over Scotland's Eve Muirhead.
Schöpp won a gold medal at the 2008 European Mixed Curling Championship as a part of the team skipped by her brother Rainer.
Schöpp studied statistics at the University of Munich and earned her diploma in 1991. She completed her doctorate in 1996, and has been employed by the University of Munich from 1991.