In the 6th and 7th episode of The Queen's Gambit, Beth plays the Moscow Invitational, an important chess tournament (that is fictional) in Russia. Some of the best players from around the world play against the top Soviet chess grandmasters.
The series depicts a city that follows the tournament with quite a lot of passion, so a large number of people gather on the outside of the building where the championship is taking place. For this, people will listen to the matches through the radio (or by even having someone sneak out and tell them the movements that were just performed).
As Beth keeps playing and winning, more and more people gather around her and ask for autographs, showing that she is becoming a celebrity among the Muscovites.
How likely is that this could really happen with in Moscow by 1967 with a chess player from the United States of America?