I'm not sure what you mean. Ben-Gurion was slated to be deported out of what is modern-day Israel in 1915. He was put on a ship bound for Alexandria, and arrested there by the British, before being sent to the United States.

The deportation by the Ottomans took place in the backdrop of WWI. As the front moved closer, and as fears of Zionist activity meant that Ottoman leaders feared that Zionists would throw their support (small though they were in number) to the groups they were fighting against, the Ottoman leadership in the area grew increasingly distrustful. Eventually, they reached the point where they ignored all of the protestations of loyalty by Zionist leaders, and deported any notable Zionists they could find. Simply put, they didn't believe Zionist leaders were truly loyal to the Ottomans, and believed that the goal was to split a Jewish state from the Ottomans. Ben-Gurion, and his friend Ben-Zvi, appealed the order of permanent deportation, arguing that they defended workers' interests, that they were not secret and acted in public, and that they loved and had always loved the Ottoman Empire. They also argued they had registered for conscription, sought education there, and the like. Ultimately, their appeal went unanswered, so Ben-Zvi went to find Jamal Pasha (a prominent Ottoman general largely and heavily involved by the way in the Armenian Genocide). Pasha, when Ben-Zvi confronted him about the lack of response to the appeal, said he "threw" the letter away, and said that anyone wishing to establish a sovereign Jewish state in Palestine could not remain. Ben-Zvi denied holding these views, but Pasha said they should be deported, that he did not believe them, and said they'd never come back so long as they held those views. This was recounted by Ben-Zvi, and I'm paraphrasing it from Ben-Gurion by Shimon Peres. Unsurprisingly, as recounted by Shapira in her Ben-Gurion, he ended up switching sides and enthusiastically supporting the Entente, even as the Ottomans cracked down harder and harder on Jews (Pasha in particular was renowned for his cruelty). Ben-Gurion also shifted in other ways, from the view that labor would redeem the land and create the state (and that diplomacy would not, contrary to Herzl's original vision), to the idea that at the peace conference following WWI that Jews should insist on a state (much more in line with Herzl's vision). The deportation may have played a role, as it was the first time he also appears to have encountered Arab nationalism: upon news of his deportation, an Arab friend told him that he was sad Ben-Gurion was being deported as a friend, but happy as an Arab. Ben-Gurion may have seen this as indicating that actual independence would be harder than he originally imagined, and as necessitating a shift in strategy to marshal diplomatic forces as well, but it's unclear ultimately.