She was runner-up in the 2000 and 2001 Danish National Championship and she represented Denmark at the Espirito Santo Trophy in 2002 with Mette Buus and Lisa Holm Sørensen.

[1] Tvede turned professional in June 2004 and joined the LPGA Futures Tour, where she played until 2006.

Tvede joined the Ladies European Tour in 2008 and in September finished tied 5th at the Nykredit Masters in her native Denmark.

She came close capturing a second Swedish Matchplay Champion title, losing in the final to Louise Larsson.

[2] In November 2010 she won a tournament in the inaugural season of the LET Access Series, the LET's new feeder tour.