درنة
From January to March 1943, "Exmoor" and the rest of her destroyer division supported operations by the British Eighth Army as it advanced across Libya and into Tunisia in pursuit of retreating Axis forces. On 27 March 1943, she rescued 13 survivors of the British merchant ship "City of Guildford", which the German submarine had sunk off Derna, Libya, at position . In April 1943 her division was transferred to Malta, from which she continued her support of the Eighth Army and engaged in convoy escort. From 7 to 13 May 1943, her division joined the destroyers "Jervis", "Paladin", "Petard", and of Malta-based Force K and the Bône, Algeria-based British destroyers "Laforey", , and and Polish Navy destroyer of Force Q in blockading Cape Bon, Tunisia, in Operation Retribution, to prevent Axis forces in Tunisia from evacuating to Sicily by sea.