Redmond, 16, only made his reserve-team debut last week and was added to the 19-man squad for the Premiership clash.
"We're very fortunate to have someone of his ability at our club," he told bcfc.com.
"He's an out and winger.
"He's speedy and a good dribbler, but he still needs to improve on the end product and the amount of goals he scores.
"But this is a pat on the back for him and the people that have worked with him
"It's now down to him to really knuckle down and work hard over the next two years to really fulfil the potential he clearly has."