How would you describe the Cold War between Cuba and the US before the Kennedy Doctrine was announced?

The Kennedy Doctrine was the set of American policies towards Latin America during Kennedy's presidency, between 1961 and 1963. Prior to Kennedy's presidency, the US government backed Cuba's authoritarian government, then led by President Fulgencio Batista; however, Eisenhower's administration turned down Batista's request for weapons to defend his regime from revolutionaries, and in 1959 his presidency was overthrown. Relations between the US and Cuba in the era after the revolution but prior to Kennedy's policies were maintained, but limited. President Eisenhower avoided meeting with Fidel Castro, a leader of the revolution, for the rest of his presidency, although he did allow Vice President Nixon to host Castro during his visit to Washington, DC. When Cuba began negotiating with the USSR to purchase weapons in 1960, the US government condemned their relationship with communist countries. Towards the end of Eisenhower's presidency, in January 1961, he officially ended all diplomatic relationships with the Cuban government. This was the political relationship the US had with Cuba when Kennedy assumed office, and soon after his inauguration the president issued his doctrine that promised to contain the spread of communism in Latin America.