I'm sorry, but the question seems to have two unrelated parts. Let's focus on the first part about organizations operating under the United Nations.
Out of the options provided, the organization that does NOT operate under the United Nations is the International Monetary Fund (IMF). The IMF is not a specialized agency of the UN but it cooperates with the UN and its members.
On the other hand, NATO, the World Bank, and the World Health Organization (WHO) are organizations that operate under the United Nations. NATO is a military alliance that works closely with the UN on various security issues. The World Bank and WHO are specialized agencies of the UN, focusing on economic development and global health, respectively.