Queeley grew up playing
football and joined the
Leicester Warriors basketball club at age nine. He was dominant at the youth level in England, recording multiple 90-point and 80-point games. In February 2015, he played for
Real Madrid at the
Minicopa Endesa, an under-14 tournament in Spain. He was named
most valuable player after recording 36 points and 13 rebounds in a win over
Unicaja Málaga in the title game. In September, he signed a multi-year junior contract with Real Madrid. On 8 August 2019, Queeley signed with
San Pablo Burgos of the
Liga ACB. He competed for the club's reserve team, Nissan Grupo de Santiago, in the
Liga EBA for much of the season. On 29 January 2020, he debuted for the senior team in a
Basketball Champions League loss to
Hapoel Jerusalem. In October, he was on the roster of the Burgos team that won the
2019–20 Basketball Champions League. ==National team career==