Final answer:
The minor character responsible for shuffling the children around in the play Medea is the Nurse.
Step-by-step explanation:
In the play Medea, the character who primarily acts as a messenger and is responsible for shuffling the children around is the Nurse. The Nurse serves as a messenger between Medea and the other characters, helping to move the plot forward. Although the Nurse is a minor character, she plays an important role in the play.