MacArthur's next move was the invasion of Mindoro, where there were good potential airfield sites. Willoughby estimated, correctly as it turned out, that the island had only about 1,000 Japanese defenders. The problem this time was getting there. Kinkaid balked at sending escort carriers into the restricted waters of the Sulu Sea, and Kenney could not guarantee land based air cover. The operation was clearly hazardous, and MacArthur's staff talked him out of accompanying the invasion on "Nashville". As the invasion force entered the Sulu Sea, a "kamikaze" struck "Nashville", killing 133 people and wounding 190 more. Australian and American engineers had three airstrips in operation within two weeks, but the resupply convoys were repeatedly attacked by "kamikazes". During this time, MacArthur quarreled with Sutherland, notorious for his abrasiveness, over the latter's mistress, Captain Elaine Clark. MacArthur had instructed Sutherland not to be bring Clark to Leyte, due to a personal undertaking to Curtin that Australian women on the GHQ staff would not be taken to the Philippines, but Sutherland had brought her along anyway.