Not only did Greaves win numerous national girls' titles, but she also became a regular contender in the women's tournaments, reaching the final of the Jersey Classic at the age of 13.

Greaves successfully defended her title at the girls' 2018 Winmau World Masters by beating Hayley Crowley in the final, also without giving up a leg.

At the 2019 WDF World Cup in Romania, she won the girls' singles and doubles with Shannon Reeves, and she was also successful at the premiere of the Northern Cyprus Open.

[6] She beat Tori Kewish in the first round and Aileen de Graaf in the quarter-finals to reach the last four on debut, where she lost to reigning champion Mikuru Suzuki.

[16] Greaves whitewashed Noa-Lynn van Leuven,[17] defeated Robyn Byrne 5–3,[18] and beat Mikuru Suzuki 6–1 in the final to claim the trophy for the first time in her career.

[23] Her debut match at the Grand Slam of Darts was against the current World Matchplay champion, Nathan Aspinall, where she narrowly lost 5–4.

[36] In early February, Greaves reclaimed the WDF Dutch Open Darts trophy by whitewashing Jacqueline Seitzinger, Rachelle Boshoven, Jaynie Bloem, Desiree Geel, and Lerena Rietbergen before dropping her first legs against Lorraine Hyde 4–1 in the quarter-finals and Noa-Lynn van Leuven 4–1 in the semi-finals to enter her third consecutive final.

[44][45] Greaves successfully defended her Women's World Matchplay title on 21 July 2024, defeating Fallon Sherrock 6–3 in the final at Blackpool's Winter Gardens.

[55] After her match against Menzies, Greaves expressed her disapproval of the ruling preventing players from playing more than one organisation's World Championship in the same year calling it "stupid".

[56] Greaves decided to decline her invite to the 2025 PDC World Championship, for which she qualified for as the winner of the Women's Matchplay, to instead defend her back-to-back Lakeside titles.

[57] She was as top seed at the WDF Lakeside World Championship for the third year in a row and was drawn against the winner of the match between Amanda Loch and Kirsi Viinikainen for the second round.

[59][60] Greaves continued her run with whitewash victories over Jitka Císařová in the quarter-finals and Deta Hedman in the semi-finals, setting up her third Lakeside final in a row against debutant Sophie McKinlay.

On the third day she made the quarter-finals, beating Josh Payne in a rematch, Lewis Pride, and Steve Hine, and Cameron Crabtree en route before losing 6–3 to Darryl Pilgrim.

[67] On the final day, she whitewashed Kevin McDine and Ted Evetts before losing in a last-leg decider to Carl Sneyd, failing to secure a tour card.

En route to the final, she defeated Patrick Quinn 5–1, Mike Warburton 5–0, Alexander Merkz 5–1, Jurjen van der Velde 5–2, Jamie Atkins 5–3, Keenan Thomas 5–4, Henry Coates 5–1, and Michael Unterbuchner 5–3.