Following the forced retirement of Craig Clarke due to persistent concussions at the end of the 2013–14 season, Muldoon was once again handed the captaincy in August 2014. The following season saw Muldoon start all 22 of Connacht's league games and featured in five of the team's seven games in the 2014–15 Rugby Challenge Cup. Connacht's performance in the league saw them finish an all-time high of seventh, but this was not enough to guarantee a spot in the Champions Cup, and the team was entered into a play-off with teams from England and France. Muldoon captained Connacht in their play-off against Gloucester, playing the entire game. Connacht led 18–25 in the final minutes, but a controversial penalty decision from Romain Poite gave Gloucester a try-scoring opportunity and sent the match to extra time, after which Gloucester emerged 40–32 victors.