The best answer to this (of the options that you have given us) is B.
When the crisis over the desegregation of Little Rock Central High began, Pres. Eisenhower met with Gov. Orval Faubus. Pres. Eisenhower believed Faubus when Faubus promised that he would comply with the court order. As the link below says,
Faubus gave assurances that he would not resist further attempts at desegregation but later betrayed the president.
Eisenhower had trusted Faubus and had hoped that the situation could be resolved without resorting to force, but he eventually found out that he was wrong.
One reason why Eisenhower acted in this way was the fact that he did not think the federal government should be telling the states what to do. As the link below also says,
Eisenhower believed that southern states should voluntarily promote racial equality, and that federal intervention should only be used as a last resort.
As these quotes show, Eisenhower wanted to avoid federal involvement and so he was inclined to believe Faubus's promises.
Therefore, the best answer is B.