What is the role of the Trusteeship Council?

The role of the Trusteeship Council is specifically focused on overseeing the administration of trust territories, ensuring they are guided towards self-government or independence. Established by the United Nations, the Council's primary purpose was to administer the preparation of these territories for self-rule, promoting their political, economic, social, and educational advancement. It played a crucial role during the decolonization phase, when many territories were transitioning to self-governance.

The other choices reflect important functions within the UN but do not pertain to the mandate of the Trusteeship Council. For instance, the global maintenance of human rights is overseen primarily by other bodies within the UN framework, and managing disputes between Member States is typically handled by entities like the International Court of Justice. Additionally, international health initiatives are coordinated by agencies such as the World Health Organization. Thus, the distinct task of leading trust territories to autonomy or independence underpins the significance of option 'B'.