To be off the hook means to be freed from an obligation, and in this context the speaker is not freed from their obligation to Conner.
Context: "I don't really, but I made things worse by saying something stupid as usual, and Conner is not letting me get away with it." Claim: "I dont really, but I put my foot in my mouth as usual, and conners not letting me off the hook."
Considering the context, is the claim true, false, or unknown?