What should a referee do if a goalkeeper changes jerseys without notifying the referee, and the new goalkeeper touches the ball with her hands?

In the scenario where a goalkeeper changes jerseys without notifying the referee, and a new goalkeeper then touches the ball with her hands, the appropriate action is to stop play and caution both goalkeepers.

This is necessary because the substitution of the goalkeeper requires notification to the referee to ensure that all players on the field are correctly identified and that the game is played according to the rules. When the new goalkeeper enters the field without proper notice and handles the ball, it reflects a violation of protocol. By stopping play, the referee can address the issue and ensure that both goalkeepers are cautioned for their failure to adhere to the substitution rules.

This action upholds the integrity of the game by reinforcing the importance of proper communication between players and officials. Cautioning both goalkeepers serves as a lesson about the importance of following the rules while maintaining control of the match.

The other options do not appropriately address the situation's violation of rules regarding substitutions and communications with the officials. Some suggest allowing play to continue or penalizing one player, which would not rectify the situation or enforce the standards required in the game.