Robbins made her county debut in 2013, for Gloucestershire against Derbyshire.[4] The following season, 2014, she was Gloucestershire's joint-leading wicket-taker in the County Championship, with 6 wickets at an average of 14.83.[5] Robbins soon became a regular in Gloucestershire's side, with strong seasons coming in the 2016 and 2017 Championships, where she took 7 wickets in each season, including a best bowling of 4/2 in a 2017 match against Wiltshire.[6][7][8] In the 2019 Women's County Championship, Robbins took 14 wickets, the second-highest tally across the whole competition, including her maiden five-wicket haul, 5/19 against Dorset.[9][10] She also achieved her T20 high score that season, scoring 47 from 40 balls against Wiltshire.[11] In 2021, she helped her side to winning the South West Group of the Twenty20 Cup, taking 2 wickets and scoring 41 runs.[12][13] She took four wickets at an average of 30.00 in the 2022 Women's Twenty20 Cup.[14]
In 2021, Robbins was selected in the Western Storm squad for their upcoming season.[15] She played four matches for the side in the Rachael Heyhoe Flint Trophy, without taking a wicket.[16] She was again in the Western Storm squad in 2022, but did not play a match.[17] In 2023, she played eight matches for Western Storm, across the Rachael Heyhoe Flint Trophy and the Charlotte Edwards Cup, taking six wickets.[18][19] At the end of the season, it was announced that Robbins had signed her first professional contract with the side.[20] In 2024, she played 10 matches for Western Storm, across the Rachael Heyhoe Flint Trophy and the Charlotte Edwards Cup, taking four wickets.[21][22]