[2][3] Botham joined the Cardiff academy in 2016, and in the 2018–19 season started making appearances for the senior team, initially in the Anglo-Welsh Cup, and then debuted in the Pro14 against Connacht Rugby.
[6] Botham made his debut for Wales U18 on 25 March 2016 against Scotland under-18 at St. Helen's Rugby and Cricket Ground, Swansea, scoring a try in the 31-30 victory.
[12] Botham retained his place in the squad for the 2021 July rugby union tests, and score his first try for Wales in the win over Canada.
Ahead of the 2021–22 season, Botham underwent shoulder surgery, which ruled him out of the 2021 end-of-year rugby union internationals.
[15] In Wales final fixture of the 2024 Autumn Nations Series, Botham scored a late try in a 45-12 defeat to South Africa.