Kjær won the gold medal at the 1988 and 1990 European Badminton Championships in women's doubles with Nettie Nielsen.

Dorte Kjaer first won a bronze medal at the 1980 European Badminton Championships with Anne Skovgaard.

She won a silver medal in the mixed doubles at the 1981 European Junior Championships with Mark Christiansen in Edinburgh, Scotland.

Dorte Kjaer and Nettie Nielsen won a bronze medal in Women's doubles at the 1988 Summer Olympics in Seoul when badminton was an exhibition sport.

Dorte Kjaer won the Nordic badminton Championships in Women's doubles in 1982, 1984, 1985, 1986, 1987 and 1988 with Nettie Nielsen and in 1989 with Lotte Olsen.