Final answer:
Creon misinterprets Haemon's plea for Antigone as personal disloyalty and a challenge to his authority, rather than recognizing it as a legitimate appeal to morality and justice.
Step-by-step explanation:
The right of Haemon that Creon misinterprets is Haemon's plea for mercy and understanding for the plight of Antigone, engaging in what he believes to be moral action by burying her brother Polyneices. Creon, however, sees Haemon's argument as defiance and a challenge to his authority. Instead of interpreting Haemon's words as an appeal to reason and justice, Creon misjudges this as personal disloyalty and an attack on the sovereignty of his rule.
Creon proclaims that sons should be submissive and support their father's decisions, viewing Haemon's opposition as an act of betrayal rather than a rightful assertion of moral conscience. Creon's misinterpretation stems from his rigid adherence to his own laws and power, overshadowing a fair consideration of moral laws - which Antigone champions when she decides to bury her brother despite Creon's edict.