Burgaard started playing handball at Vinding SF when she was 5. In 2006 she signed for
Fredericia HK. She has played for numerous Danish clubs, before in 2019 signing for the French club
Metz Handball. Here she has won both the
French cup and the
LFH Division 1 Féminine multiple times. In the
2024–25 season, she achieved a perfect regular season with
Odense Håndbold, winning 26 of 26 games. Later the same season she won the Danish Championship, when Odense beat
Team Esbjerg in the final 2-1 in matches. ==Achievements==