After retiring, she played some seniors tennis.
Appel-Vessies' best performance in the singles competition at a Grand Slam championship was at the 1975 French Open when she reached the third round.
Her best performance in a doubles tournament at a major was at the 1976 French Open when she and Virginia Ruzici reached the quarterfinals.
She also played 30 times for the Netherlands Fed Cup team, winning 17 matches and losing 13.
She helped the team retain its place in the World Group during her time as a professional.