The territory that became an independent country and was not a U.S. acquisition during American imperialism in the 1890s is Cuba.
In the 1890s, the Island region known as Cuba was under Spanish rule until the Spanish-American war.
Following the Spanish-American war in 1898, when the United States defeated Spain, the Spanish government ceded the Cuba territory to the United States under the Treaty of Paris.
However, by 1902, Cuba became independent, which made the island to be removed from the United States acquisition during the period of American imperialism in the 1890s.
Hence, in this case, it is concluded that the correct answer is Cuba.
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