Final answer:
No, the Referee should not assess a minor penalty for Delaying the Game in this scenario.
Step-by-step explanation:
No, the Referee should not assess a minor penalty for Delaying the Game in this scenario. When a goalkeeper leaves their crease to reach a loose puck, they are permitted to fall on the puck and initiate a stoppage of play, as this is a normal part of the game and not considered delaying the game. The privileged area refers to the goalie's crease, and the goalie has the right to play the puck within this area. Falling on the puck to stop play is not penalized in hockey.