On 8 November 1975, while playing in a league match against Gillingham, Dwyer collided with an opposition player and received a blow from the player's knee to the back of his head and was knocked unconscious. The impact resulted in Dwyer swallowing his tongue and he briefly stopped breathing. Cardiff physio Ron Durham managed to clear his airway by using the corner flag pole and revived him with mouth-to-mouth resuscitation. He was taken to hospital by an ambulance that had driven onto the Priestfield pitch. Some initial reports even suggested that Dwyer had passed away, however, he was back playing for the Bluebirds just seven days later against Colchester United. He continued his goalscoring form in his new role, scoring braces during a 5–2 victory over Peterborough United in December and against Walsall and Colchester in February 1976. The side went on to secure promotion back to the Second Division at the first attempt, winning six of their last nine matches of the season and conceding just a single goal in the process. Dwyer also won the Welsh Cup for the third time in his career, defeating Hereford United over two legs in the final. In the first leg, Dwyer scored twice to finish the campaign with 10 goals in all competitions, a career high tally. He also recorded a career high 58 appearances, missing only one of the club's first team matches in all competitions.