He won’t do anything. He would willingly sacrifice Americans on the altar of political correctness, than annoy his busom buddies.
One of the Islamic demands was for the US to stop interfering in Islamic territories. Obama is determined to capitulate to the Islamic demands, so don’t expect any retaliation or response from Obama. If Obama was willing to throw the Libyan ambassador under his bus, he will throw oil workers under a train to appease the Islamists.
Plus, if he would actually try to do something, he risks failure that he cannot blame on someone else or other circumstances. Not doing anything is so much safer.