She previously played for Illinois Sandviken. In the 2011 season she scored ten goals to help Sandviken avoid relegation. An Under-19 international, she was the top scorer of the 2011 U-19 European Championship with seven goals.
She scored in all five games from the group stage to the final, which Norway lost 8–1 to Germany.
Veteran national coach Even Pellerud selected Bjånesøy in Norway"s squad for Union of European Football Associations Women"s Euro 2013 in Sweden. In the final at Friends Arena, she was an unused substitute as Norway lost 1–0 to Germany.