Svendsen has a career-high singles ranking by the Women's Tennis Association (WTA) of 361, achieved on 12 June 2023. She has won three singles titles and four doubles titles on the ITF Circuit. On the junior tour, she has reached a career-high combined ranking of 14, achieved on 3 January 2022.
Svendsen competes for Denmark in the Billie Jean King Cup, where she has a win-loss record of 11–14 (as of April 2025).[2]
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