Answer:
B. Discouraged feeling
Step-by-step explanation:
Depserate anguish depicts a negative connotation, this means has to do with his state of mind. Hence, evaluating the options given, eager anticipation has no negative connotation and hence will not fit the phrase. Similarly, the word optimistic outlook has no negative connotation either and doesn't fit as well.
Hopeless despair has a negative connotation as well and could be considered, however, a hopeless despair could be termed to mean a state where one feels all his lost or irreparable. This has taken the meaning too far. Therefore, a discouraged feeling seems the most appropriate.