This is a pretty ridiculous statement to make. You might want to look up any generally accepted definition of 'communism' (as opposed to Western European-style socialism) at some point. (Hint: it doesn't simply mean the idea that it might be advantageous for the government to own certain major industries).
She believed in a small state, in individual enterprise, etc.
"A small state and individual enterprise", indeed:
Thatcher was a fierce Cold Warrior, and when it came to Chile never mustered quite the appropriate amount of compassion for the people Pinochet killed in the name of anti-Communism. She preferred talking about his much-vaunted “Chilean economic miracle.”
And kill he did. Pinochet’s soldiers rounded up thousands in the capital’s sports stadiums and, then and there, suspects were marched into the locker rooms and corridors and bleachers and tortured and shot dead. Hundreds died in such a fashion. One was the revered Chilean singer Víctor Jara, who was beaten, his hands and ribs broken, and then machine-gunned, his body dumped like trash on a back street of the capital—along with many others. The killing went on even after Pinochet and his military had a firm hold on power; it was just carried out with greater secrecy, in military barracks, in police buildings, and in the countryside. Critics and opponents of the new regime were murdered in other countries, too. In 1976, Pinochet’s intelligence agency planned and carried out a car bombing in Washington, D.C., that murdered Allende’s exiled former Ambassador to the United States, Orlando Letelier, as well as Ronni Moffitt, his American aide. Britain regarded Pinochet’s killing spree as unseemly, and sanctioned his regime by refusing to supply it with weapons—that is, until Margaret Thatcher became Prime Minister.
In 1980, the year after Thatcher took office, she lifted the arms embargo against Pinochet; he was soon buying armaments from the United Kingdom. In 1982, during Britain’s Falklands War against Argentina, Pinochet helped Thatcher’s government with intelligence on Argentina. Thereafter, the relationship became downright cozy, so much so that the Pinochets and his family began making an annual private pilgrimage to London.
"Neruda, Pinochet, and the Iron Lady." -- The New Yorker, April 9 2013