And Moray Low made himself a hero as the Warrior prop scored the only try of the game to lead his side to a 17-12 victory, taking home the 1872 Cup in the process.
But Bradley believes it could have been an entirely different story had his centre Matt Scott not been sent to the sin-bin by referee Allan with 13 minutes to go.
"It was a crucial decision in the game," he said. "We had a lot of possession, for all of the game really, and the scrum penalty just before that and the yellow card was decisive in terms of the balance of power and numbers.
"The referee was next to it and didn't see fit to put his hand in his pocket, or stop the play even. Then the touch judge saw what he saw.
"I thought we did well even when we down to 14 men, and Jonesy [Lee Jones] was nearly in the corner.
"You don't automatically lose a game when you go down to 14 men, and obviously Glasgow went down to 14 men last week and coped okay with it."