The correct answer is false.
It is false that President Eisenhower authorized the use of federal troops in her support.
We are talking about Autherine Lucy, the first African American woman that was admitted to study at the University of Alabama, in Tuscaloosa. Originally, in 1952, when the office of admissions knew that she was a black woman, the University declined her admission. She went to court, and finally, the University accepted in 1956, although students organized riots to oppose the decision.