[7] Woodgate's made his first international appearance for Great Britain in the 2019 season in the Under 18 age group at the European Youth Cup.
In 2021, following the disruption to the global sporting schedule in 2020 caused by the COVID-19 pandemic, Woodgate was selected for the three-man British men's recurve team competing at the postponed 2020 Summer Olympics in Tokyo, Japan, alongside Patrick Huston and Tom Hall.
Subsequent to the Games, Woodgate also competed at the 2021 World Archery Youth Championships,[10] in Wrocław, Poland, where he set a new UK junior record of 678/720 for the 70m qualification round,[11] seeding 1st and finishing 9th after matchplay.
He was also part of the senior men's recurve team which finished 6th at the 2021 World Archery Championships[12] in Yankton, USA.
He was part of the men's team which won gold[16] at the 2022 European Youth Championships[17] in Lilleshall, UK.