I think people being taken in by quack medicines is all too common. Given that Nancy Reagan used to consult an astrologer and Prince Charles believes in homeopathy and a lot of leaders in the Western World at least pay lip service to a god that sacrificed himself temporarily to break his own rules about people being naughty, I do not find it at all hard to imagine that Margaret Thatcher used alt. meds.
It wasn't so much that I doubt Thatcher would dabble in alt meds, more the combination of Thatcher, Cartland and the golden acorn whatever that was.