Bobby Kennedy, unsure whether his discussions with Dobrynin would work, was spending time with his family. He hadn’t seen much of them in two weeks. He was at a horse show, with his daughters, when the broadcast aired.

By the time Khrushchev (pictured in this link with his wife and Gromyko) concluded his message, it was clear (to those few who knew) that Bobby Kennedy and Anatoly Dobrynin had brokered a deal. The Soviet leader made no public mention of missiles in Turkey. The terms of President Kennedy’s October 27th letter would be implemented: Ballistic missiles would be dismantled and returned to the USSR in exchange for an American promise not to invade Cuba.

In his message, Khrushchev chastised Kennedy for the American U-2 that had invaded Soviet air space the previous day

The question is, Mr. President: How should we regard this. What is this: A provocation?

and warned him about continued flights over Cuba

...violation of Cuban airspace by American planes could also
lead to dangerous consequences. And if you do not want this to happen, it would be better if no cause is given for a dangerous situation to arise.

The superpowers had stepped back from nuclear war. But no one from Moscow had bothered to tell Fidel Castro. He found out when everyone else did. And he was not pleased.