Meesseman was drafted 19th overall in the second round of the 2013 WNBA Draft by the Washington Mystics. In her rookie season, Meesseman was a back-up center on the Mystics' roster, averaging 4.4 points per game and 3.1 rebounds per game in 34 games with 1 start.
In the 2014 season, Meesseman became the starting center for the Mystics and averaged 10.1 points per game and a career-high 6.4 rebounds per game.
In the 2015 season, Meesseman would play outside her natural position after being moved to power forward in the Mystics' starting line-up to make room for Stefanie Dolson at the center position. Meesseman would have a breakout season in 2015, averaging 11.6 points per game, 6.3 rebounds per game, was ranked fifth in blocks per game and also added three-point shooting to her skill set. Meesseman scored a career-high 24 points to go along with 10 rebounds in a loss against the Tulsa Shock on June 19, 2015. She also made her first career all-star game appearance after being voted into the 2015 WNBA All-Star Game.
In 2016, Meesseman signed a three-year contract extension with the Mystics. During the 2016 season, Meesseman would have the best season of her career thus far, averaging a career-high 15.2 points per game and led the league in three-point field goal percentage.
In 2017, after the Mystics traded Dolson to the Chicago Sky, Meesseman continued her role at the power forward spot in the starting lineup. In the Mystics' season opener, Meesseman scored a season-high 13 points along with 8 rebounds in a 89–74 victory over the San Antonio Stars.
During the 2017 season, Meesseman left the Mystics after the first four games due to overseas commitment to play for her national team during the FIBA world championship qualifying tournament. She returned on May 12, 2017, for practice and was activated to play on the Mystics' roster on June 28, 2017. On July 30, 2017, Meeseman scored a new career-high of 30 points along with 10 rebounds in a 77–70 victory over the Atlanta Dream. The Mystics secured a playoff berth as the #6 seed in the league with an 18-16 record. In the first round elimination game, the Mystics defeated the Dallas Wings 86-76, Meesseman scored 16 points and grabbed 10 rebounds. They advanced to the second round elimination game, where they defeated the #3-seeded New York Liberty, 82-68, advancing to the semi-finals, making it the first time in franchise history where the Mystics have advanced past the second round. Meeeseman scored 5 points and grabbed 5 rebounds in the win.
Meesseman's club career began at the age of 16. She played domestically for the Blue Cats, based in her birth town of Ypres, and in the EuroCup for Lotto Young Cats, also in her native Belgium. In her second season with the Blue Cats she was named Belgium Championship MVP, and took the Young Cats to two EuroCups (2010–12).
In 2012, she joined ESB Villeneuve-d'Ascq of the Ligue Féminine de Basketball. In her second year with the club she played in her third EuroCup, reaching the semi-finals before falling to WBC Dynamo Moscow.
Meesseman played for Spartak Moscow from 2014 to 2016, competing in two EuroCup tournaments. In February 2016, she was acquired by UMMC Ekaterinburg.
In her second year with UMMC Ekaterinburg, Meesseman won a championship.
Meesseman made her debut for Belgium at the 2011 FIBA Europe Under-18 Championship for Women. In the final, Meesseman led the team to victory 77-49 over France, herself scoring 25 points, and was named tournament MVP. On November 25, 2015, she scored 31 points, made seventeen rebounds and five assists for the women's senior team in a EuroBasket Women 2017 qualifier against Belarus.
In Belgium's quarterfinal Eurobasket 2017 match against Italy, she scored 28 points, had 11 rebounds, five assists, and five blocked shots.
Meesseman was named to the All Star five of the tournament, leading Belgium to its best ever finish, a Bronze Medal in EuroBasket.
Her mother, Sonja Tankrey, is a former basketball player. She was the Belgian Women's Basketball Player of the Year in 1983.
Meesseman speaks fluent Dutch, French and English. Meesseman was also born with 50% hearing. She wears hearing devices behind both ears to compensate for her lack of hearing.