Taylor Barnard made his single-seater debut in 2020 when he competed in three rounds of the Italian F4 Championship. He managed to score 2 points at the Monza round and ended up 26th in the standings. In 2021, Barnard competed in the ADAC Formula 4 Championship to drive for BWR Motorsport. Unfortunately, the team had to miss two rounds so the Brit finished the year in 17th overall. 

In 2022, the Brit contested in the Formula 4 UAE Championship where he scored 1 win and finished the season in 9th overall. He also contested in the 2022 Italian F4 Championship where he scored a single podium and finished the season in 8th overall. Bedrin also competed in the 2022 ADAC Formula 4 Championship where he was significantly more successful with 10 podiums including 5 wins which led him to finish 2nd overall. For the 2023 season, the British driver is set to make his F3 debut to drive for Jenzer Motorsport.