Cincinnati Thompson played college volleyball for Cincinnati, where she was the a three time unanimous
American Athletic Conference Player of the Year and a two-time
AVCA All-American, garnering first-team honors as well as North Region Player of the Year in her
redshirt senior season in 2019. In a win over Connecticut on Nov. 3, 2019, she had 50 kills in the match which is the most kills ever in an
NCAA Division I match since the rally-scoring era began. Thompson's volleyball career almost ended before she could finish out her college career when she suffered a
UCL injury in her elbow during practice. She successfully underwent
Tommy John surgery and recovered from her injury, returning to play after taking a
redshirt season in 2017. In her final season, she led Cincinnati to the
2019 NCAA Division I women's volleyball tournament Sweet Sixteen round, where they lost in a close five set match to
Penn State. It was the first time any school from the American Athletic Conference made it into the Sweet Sixteen round of the NCAA tournament. She finished her collegiate career ranked seventh all-time in career kills in NCAA history and led the nation in kills, points, kills per set and points per set. She is the all-time leader in career kills at Cincinnati. She was named best outside hitter in the
2020 Turkish Super Cup, helping Eczacıbaşı VitrA to the Turkish League Title. Although she was to play another season with Eczacıbaşı VitrA in 2021–2022, she parted ways with the team by mutual agreement in the early stages of the season. Thompson returned to the United States to continue treatment for the ankle injury she sustained during the 2020 Olympics. In June 2022, Italian Serie A1 team
Vero Volley Milano announced that Thompson would join the team for the 2022–2023 season. During the 2023 northern hemisphere summer, Jordan was signed to
VakıfBankSporKulübü / VakıfBank Istanbul. Thompson became a founding athlete for
League One Volleyball's
Houston team and played in the league's inaugural season in 2025. As LOVB Houston's leading points scorer, she was named Opposite Hitter of the Year and named to the All-League Second Team.
USA National Team Thompson's first major tournament play with the USA National Team came in 2019 during the
2020 Summer Olympics qualifier tournament, where she helped Team USA qualify for the Olympics. She was one of just three players on Team USA's qualifying roster with collegiate eligibility, and was the only one of the three to see playing time. She was chosen to represent USA at the
2019 FIVB Volleyball Women's Nations League, where she scored 33 points versus
Brazil in the Finals Round pool play. USA would eventually win the gold medal. After a one-year delay due to the 2020 Nations League being cancelled due to the COVID-19 pandemic, she was selected to again represent USA at the
2021 FIVB Volleyball Women's Nations League in May 2021. She had a match high 17 points in USA's sweep of
Thailand. USA won the gold medal for the third year in a row after defeating Brazil, 3 sets to 1. On June 7, 2021, she was named to the 12-player Olympic roster for the
2020 Summer Olympics in Tokyo. In a pool play match against China, Thompson led all players with 34 total points, helping team USA win 3–0 against the defending Olympic champions. After suffering an ankle injury in a pool match against Russia, she did not make an appearance for the remainder of the tournament. Despite Thompson's absence, USA would eventually win the gold medal, the first in program history, after defeating Brazil in straight sets. In June 2022, Thompson returned to national team competition after recovering from her ankle injury sustained during the 2020 Olympic Games, when she played in the
2022 FIVB Volleyball Women's Nations League tournament. She had 15 points in a win vs. the Dominican Republic. In 2024, she was again selected as part of the Olympic roster for the
2024 Summer Olympics in Paris, where she won a silver medal with the team. ==Personal life==