Conservative MP Amber Rudd said Margaret Thatcher would not be surprised that some people are using her death as an opportunity to protest.
Speaking to Daybreak she said: "Be very careful, because peaceful protests is ok, anything else is not."
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In an embarrassing setback for the president, Republicans failed to reach the number of votes to pass his new healthcare act into law.
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Some of Britain's biggest stars of the stage and screen will be honoured at Buckingham Palace later today.