In what way might Colonel Muammar Gaddafi sense a betrayal from another country (against Libya), in the same way that Macbeth feels that he and Scotland have been betrayed in Shakespeare's Macbeth?
Colonel Gaddafi accused leaders of other parts of the world of turning on him in an unethical manner. Specifically, the recently deposed leader in February of 2011, accused western powers of betraying him.
David Cameron, the British prime minister's name came up in an interview at that time: Gaddafi accused him of having no morals; and, that Cameron misrepresented Gaddafi's financial position in Britain when he said he was freezing Gaddafi's English assets, as the Libya leader stated he had no money in any bank in England.
Similar to the situation in Shakespeare's Macbeth, when Malcolm flees Scotland, fearful that he will be killed by whoever also murdered his father, he is welcomed by England's King, Edward the Confessor. He is promised support, including troops, to take Scotland away from Macbeth.
Macbeth accuses Malcolm of running to England and betraying him by spreading rumors regarding how Duncan died (by blaming Macbeth), while Macbeth insists that his "bloody cousins" (Malcolm and Donalbain) are to blame for their father's death. Macbeth would see King Edward as the foreign leader betraying him, much the way Gaddafi sees David Cameron as a traitor to Libya as well.