Born and raised in Ballydurn, County Waterford, Queally first played hurling and Gaelic football as a schoolboy with St Augustine's College in Dungarvan.
Queally began his club career at juvenile and underage levels with St Mary's, winning an Eastern MBFC medal in 1988.
After losing out to St Mary's in 1989, Queally was part of the Ballydurn team that beat Rinn Ó gCuanach in a second replay to win the Waterford JHC title in 1990.
[2] With sister Gaelic football club Newtown, Queally lost back-to-back Waterford IFC before claiming a winners' medal in 1993 after a 0-12 to 0-11 defeat of Rinn Ó gCuanach in the final.
After bring his dual player status to an end in 1996, Queally spent the remainder of his inter-county career focussed on hurling.
[10] Queally brought his inter-county hurling career to an end shortly after this defeat, after leaving the panel having expressed no confidence in team manager Justin McCarthy.
Queally's performances at inter-county level resulted in his selection for Munster in their 1999 Railway Cup final defeat by Connacht.
[23] After ending his time as Passage manager, Queally took charge of Abbeyside and guided the team to a 2-19 to 0-13 defeat by Ballygunner in the 2018 SHC final.
[25] In September 2022, Queally was added to Davy Fitzgerald's Waterford senior hurling management team as a selector.