Moore made her county debut in 2019, for Kent against Yorkshire.[4] That season, she took 4 wickets in the County Championship and 4 wickets in the Twenty20 Cup, helping Kent win their 8th Championship title.[5][6] In 2021, she was Kent's leading wicket-taker in the Twenty20 Cup with 9 wickets at an average of 15.77, helping her side to win the South East Group.[7] At the end of the season, she was named as Kent's Women's Club Player of the Year.[8] She played eight matches for Kent in the 2022 Women's Twenty20 Cup, taking eight wickets at an average of 20.50.[9] She played two matches for the side in the 2023 Women's Twenty20 Cup, including taking 4/10 against Oxfordshire.[10]
In 2021, Moore was named as part of the South East Stars squad for their upcoming season.[11] She made her debut for the side in the opening match of the Charlotte Edwards Cup, against Lightning.[12] She went on to play every match in the competition that season, taking 6 wickets at an average of 21.16, as her side won the competition.[13][14] She also played three matches in the Rachael Heyhoe Flint Trophy, and took four wickets in five matches for Northern Superchargers in The Hundred.[15][16] In 2022, she played seven matches for South East Stars in the 2022 Charlotte Edwards Cup, scoring 133 runs and taking eight wickets at an average of 8.50.[17] She scored her maiden Twenty20 half-century against Western Storm, making 57*.[18] Moore was again in the Northern Superchargers squad in The Hundred, but missed the competition, and the rest of the season for Stars, due to injury.[19] At the end of the 2022 season, it was announced that Moore had signed her first professional contract with South East Stars.[20]