IIRC the CIA and other parties were upset Kennedy didn’t commit further to the invasion. Kennedy’s refusal to provide direct air support after the CIA backed forces lost the initiative is usually cited as a major point of contention.
More conspiratorial theorists like to speculate that the CIA hoped to lure the US into a full-scale invasion of Cuba by escalating the Bay of Pigs invasion. By refusing to provide direct air support, Kennedy essentially stopped that from happening and doomed the invasion and ruined Allen Dulles’ reputation. I have no clue how valid these theories are, but it’s what’s usually cited.
This isn’t some speculative scenario about how JFK felt toward Dulles; JFK fired Dulles after the Bay of Pigs!
But the failed invasion of Cuba was not an isolated incident. JFK was undermined by an intelligence community he did not control many times, another famous one being the CIA-backed military coup against Charles de Gaul which also failed. But the French foreign minister to the US has record of a conversation with Kennedy where he says he is not fully in control of his country’s foreign policy.
More conspiratorial theorists like to speculate that the CIA hoped to lure the US into a full-scale invasion of Cuba by escalating the Bay of Pigs invasion. By refusing to provide direct air support, Kennedy essentially stopped that from happening and doomed the invasion and ruined Allen Dulles’ reputation. I have no clue how valid these theories are, but it’s what’s usually cited.