Kilday made his senior debut for Hamilton Academical in the Scottish Premier League on 15 January 2011, in a 4–0 defeat versus Rangers at Ibrox.

[3] The performance of Kilday and other young players in that match, including Michael Devlin, who also made his debut, was praised by manager Billy Reid.

[7] In June 2014, Kilday signed for Greenock Morton[8] and was offered a one-year contract extension, after playing all 36 league matches for the Ton.

[9] Following another successful season, Kilday signed a further two-year contract with the Greenock club[10] and rejected a deal to return to the Accies.

[16] Following his release from Queen's Park, Kilday returned to Hamilton for his second spell with the club in June 2023.