Cabezas Hurtado is a product of Real Cartagena's academy:[2] he made his professional debut for the club on 14 April 2021, coming on as a substitute in the second half of the Copa Colombia match against Llaneros, which ended in a 0–0 draw.
[6][7][8] However, on 19 December of the same year, the transfer's activation was anticipated to January 2023, as the forward was officially set to join Categoría Primera A side Independiente Medellín on a six-month loan, with an option to extend the deal until the end of the 2023 season.
[14][15] On 6 January 2024, Cabezas Hurtado made his Watford debut as a substitute in a 2–1 FA Cup win over Chesterfield, providing the assist for Tom Dele-Bashiru's injury time winner.
[21][22] In May 2022, he was included in the Colombian squad that took part in the Maurice Revello Tournament in France,[21] where he scored a goal in the last group stage match against Japan,[7][23][24] as the Cafeteros eventually finished in fourth place.
[29] In May 2023, Cabezas Hurtado was included by head coach Héctor Cárdenas in Colombia's final squad for the FIFA U-20 World Cup in Argentina,[31][32] where the Cafeteros reached the quarter-finals before losing to Italy.