[2] Sheedy has previously played on loan for Clifton, Dings Crusaders, Cinderford and Jersey Reds.

Sheedy joined the Bristol Bears ahead of the 2014/15 Greene King IPA Championship campaign and scored 22 points in a stunning display in the play-off final to help Bristol achieve promotion.

On 30 January 2024, after many years at Bristol, Sheedy returns to his home capital in Cardiff in the URC competition on a long-term deal from the 2024–25 season.

[3] Born in Cardiff, Wales, Sheedy qualified for Ireland through his parents and England through residency; he has appeared for both Wales and Ireland age grade representative sides,[4] and was named in June 2019 in an uncapped "England XV" side to face the Barbarians, though he was an unused substitute.

[6] On 13 November 2020, Sheedy made his international debut for Wales, coming off the bench in a 32–9 loss to Ireland.