[3][4] In February 2020, Blume started dating Olympic swimmer Florent Manaudou, and in September 2021 they announced their engagement.

[12][13] In the 4 × 100 metre medley relay Blume, Nielsen, Ottesen and Rikke Pedersen reached the final and finished seventh.

Blume participated in Edinburgh International 2017 and competed in the 50 metre freestyle event, finishing at 24.51 and winning the gold medal.

[20] In April 2017 Blume participated in the Stockholm Swim Open; in the 50 metre freestyle event she finished second behind Sarah Sjöström with a time of 24.15.

[23] Following the 2020 Summer Olympics, Blume decided to capitalize on her Olympic fame by taking a break from swimming competition and transitioning to reality television by competing on the Danish dance show Vild med dans, where Danish celebrities compete against each other to earn the designation of top dancer of the group of celebrities who participate in the given season of the show.

[26] In the semifinals Blume advanced to the final with a score of 50 points, overcoming a wardrobe mishap during an Argentine tango where her garment just below hip level caught on and stuck to one of her partner's shirt buttons.

[28] Following a multiple month break from swimming competition after the conclusion of the Olympic Games in August 2021, Blume returned to training in January 2022.