An American ship boarded on the high seas. An unarmed merchant vessel crew taken prisoner followed by a negotiation and botched prisoner exchange. A ship's captain held hostage and a Secretary of State blustering about what she will do.
Is this deja vu all over again?
The Lessons of History
Once upon a time we had men in America who believed that diplomacy had limits and military action was often the remaining alternative that could be relied upon. Other nations whine and plead, they send warships and then negotiate the conditions of payment of an exorbitant ransom. We've got a destroyer alongside now and I'd be willing to bet some other combat vessels close at hand. What are we going to do?
I'd start by issuing an ultimatum, similar to Jefferson's. I'd take advantage of the 21st century intelligence capabilities we've got. I'd ready some "special operators" and conduct a mission similar to those early "Leathernecks" in which those who conduct this piracy are rooted out of their ratholes.
It's possible that some innocent lives will be lost in the process. Lloyd's of London might have to pay off an insurance policy for a ship that was badly damaged or lost in the process. But, in the long run the outcome will be worth the battle.