The problem seen is "just the tip of the iceberg", with those not being able to get to the hospital in a much worse situation.
The "distressing" situation in Yemen is a result of choices made by "powerful countries and powerful people", according to a UN official.
Sir Mark Lowcock told Sources "choices have been made to abandon these people".
He added that deciding not to fund the relief operation has been "one of the worst choices" made this year.
The country has been devastated by a conflict between Abdrabbuh Mansur Hadi's administration and the Houthi armed movement since 2014 - both claim to form the official government.
Mr Hadi's government is supported by powerful countries, headed by Saudi Arabia, but also backed by the US, Britain and the United Arab Emirates.
The crisis has worsened due to coronavirus, with the UN saying more than 20 million people require urgent humanitarian assistance because of the ongoing conflict - almost half of them children.
The UK government has said that famine in Yemen "has never looked more likely".
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