As shown in that same article, they also responded:

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"Companies – wherever they're based – are not allowed to sell unsafe toys to children in the UK. And society has long protected youngsters from things like alcohol, smoking and gambling. The digital world should be no different," she said.

"The UK is setting new standards for online safety. Age checks and risk assessments are cornerstones of our laws, and we'll take robust enforcement action against firms that fall short."

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Quite frankly she seems completely out of touch with her own argument. The UK can certainly legislate away tobacco sales, for instance; they can't go after tobacco producers in a foreign state. 4Chan operates in the US and is a US company. They have no jurisdiction over it, even if their citizenry can access it; it's on them to block that access if they don't like it. Unless they're also implying that the US government should be allowed to go after UK companies that don't follow it's free speech regulations because American citizens can access them.