The phrase "stuck in my throat" is an idiom that means something is difficult to accept or swallow, often because it is unpleasant or hard to understand. In the given sentence, "The terms of the contract stuck in my throat," it implies that the terms of the contract were not easy to accept or understand. The option "were ambiguous" is the closest in meaning to this idiom because if something is ambiguous, it is unclear, vague or open to more than one interpretation. In the context of a contract, ambiguous terms can be difficult to understand or accept, just like something "stuck in your throat" is hard to swallow or accept.