She played lead for Norway at both the 2011 and 2012 World Junior Curling Championships and was the alternate for Norway at the 2013 World Junior Curling Championships.

After juniors, Kjær Molnar joined the Marianne Rørvik rink.

Kjær Molnar was a member of the 2014 European Mixed Curling Championship Norway team that won a silver medal.

Kjær Molnar played lead on the team which was skipped by Steffen Walstad.

As a student at the Norwegian School of Sport Sciences, Kjær Molnar played third for the Norwegian team (skipped by Pia Trulsen) at the 2015 Winter Universiade.