A professor mentioned to me that one of the reason that conspiracy theories are popular in Iran (and Middle East in general) was that actual conspiracies involving Western powers against Muslim countries did happen. One such example was the 1953 Iranian coup d'état which overthrew and imprisoned Iran's elected Mosaddegh government. This effectively ended democracy in Iran and replaced it with a strong monarchical rule of Mohammed Reza Pahlavi.
It was orchestrated and planned by the UK and the US. According to Wikipedia, only long after this did these countries' intelligence agencies formally acknowledge their roles.
In August 2013, 60 years after, the American Central Intelligence Agency (CIA) admitted that it was involved in both the planning and the execution of the coup, including the bribing of Iranian politicians, security and army high-ranking officials, as well as pro-coup propaganda. The CIA is quoted acknowledging the coup was carried out "under CIA direction" and "as an act of U.S. foreign policy, conceived and approved at the highest levels of government.
Classified documents show that British intelligence officials played a pivotal role in initiating and planning the coup ...
My question was, how secret or well-known were these countries' involvement in this role? Did the general public (in Iran and in the West) know about this? Or did only "conspiracy theorists" believe that the US and the UK did this, initially?