[9] Kemp was named in the Southern Vipers squad for the 2020 Rachael Heyhoe Flint Trophy, but did not play a match for the side that season.
[16] She also played two matches for the side in the Rachael Heyhoe Flint Trophy, scoring 46 runs and taking one wicket.
[18] At the end of the 2022 season, Kemp was voted the PCA Women's Young Player of the Year, primarily for her performances for Southern Vipers and England.
[21] In 2024, she played 14 matches for Southern Vipers, across the Rachael Heyhoe Flint Trophy and the Charlotte Edwards Cup, scoring two half-centuries.
[28] She made her One Day International debut on 21 September 2022 during the same series, bowling her 10 overs for 82 runs, the most ever for an English bowler in WODIs.
[31] In December 2022, Kemp went on England's tour of the West Indies, but was ruled out of the series, and the 2023 ICC Women's T20 World Cup, after suffering a stress fracture in her back.
[36] Kemp was named in England's travelling party for the their multi-format tour to South Africa in November 2024, including her first inclusion in a Test match squad.