She has career-high WTA rankings of 142 in singles and 144 in doubles, both achieved in 2019. Hives has won four singles and two doubles titles on the ITF Women's Circuit.
In November 2017, she won her most important doubles career title at the 2017 Bendigo Women's International, partnering Alison Bai. This resulted in them being awarded a wildcard into the Australian Open.
Hives is coached by Michael Logarzo and based in Melbourne.
(W) winner; (F) finalist; (SF) semifinalist; (QF) quarterfinalist; (#R) rounds 4, 3, 2, 1; (RR) round-robin stage; (Q#) qualification round; (P#) preliminary round; (DNQ) did not qualify; (A) absent; (Z#) Davis/Fed Cup Zonal Group (with number indication) or (PO) play-off; (G) gold, (S) silver or (B) bronze Olympic/Paralympic medal; (NMS) not a Masters tournament; (NTI) not a Tier I tournament; (P) postponed; (NH) not held; (SR) strike rate (events won / competed); (W–L) win–loss record.
To avoid confusion and double counting, these charts are updated at the conclusion of a tournament or when the player's participation has ended.