Christie-Davies joined Liverpool after reaching the end of his contract with Chelsea on 1 July 2018, having been at the London club since featuring for its U-11 side. The midfielder had a short spell on trial at Liverpool's academy in the second part of the 2017/18 season before making the move to Merseyside permanent. Christie-Davies got his initial taste of the first team as an unused substitute when Liverpool faced Wolves in the third round of the FA Cup on 7 January 2019. He made his debut for Liverpool in the quarter-finals of the Carabao Cup against Aston Villa on 17 December 2019. 

Christie-Davies completed a loan move to Cercle Brugge in Belgium on 8 January 2020, but he failed to make any appearances due to a knee injury and the season being ended early due to Covid 19. He was released by Liverpool that summer and joined Championship side Barnsley. He missed the first month of the season due to knee surgery but then made the matchday squad just three times, all as an unused substitute, in the next four months. He joined Slovak Super Liga side Dunajska Streda on loan in the January transfer window for the remainder of the campaign, where he made nine appearances. Early in 2021/22 a hoped for loan move failed to materialise and he spent most of the season with Barnsley's Under 23's, making two late season substitute appearances for the first team when relegation to League One had been all but confirmed. 

In the summer of 2022 Christie-Davies moved to Belgium, joining top tier KAS Eupen. He featured regularly in his first season there but in 2023/24 he lost his place after Christmas and never made another appearance in a campaign that ended in relegation. Christie-Davies is currently without a club.