Doel played his formative rugby for his hometown club, Llandovery, beginning in the Under-7s and playing at every level through to the first team.[1] Doel attended Coleg Sir Gar near Llanelli, and completed a mathematics degree at Swansea University.[2]
He joined the Scarlets Academy in 2016 and was a regular in the Scarlets A team in the 2019–20 Celtic Cup.[3]
Doel was selected for Wales in the Under-20s Six Nations having previously represented his country at all age groups from Under-16s.[4] He did not make an appearance for the side, as the U20 season was disrupted by the COVID-19 pandemic.
On 16 April 2021, Doel signed for English side Worcester Warriors on loan for the 2020-21 Premiership Rugby season.[5] On 29 April 2021, following impressive performances for the side, Doel signed a permanent deal to stay with Worcester ahead of the 2021-22 season.[6] On 5 October 2022 all Worcester players had their contacts terminated due to the liquidation of the company to which they were contracted.[7]
Following the collapse of Worcester, Doel rejoined Llandovery on 9 November 2022.[8] He combined his playing career with a part-time job working for the family construction firm.[9]
On 10 March 2023, Doel made his first appearance for the Scarlets, in a friendly against the Saracens.[10]
Doel joined the Ospreys on 31 March 2023, as injury cover until the end of the season.[11] He made one appearance for the Ospreys, coming off the bench against Cardiff in the annual Judgement Day fixture.[12]