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Harold McMillan.
From Wikipedia:

The Profumo affair may have exacerbated Macmillan's ill-health. He was taken ill on the eve of the Conservative Party conference, diagnosed incorrectly with inoperable prostate cancer. Consequently, he resigned on 18 October 1963.

But what if Profumo affair had never came out,and the diagnosis for McMillan had been correct?
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