With the assumption that the underlined word in the sentence is ‘eagerness’, the answer that is synonymous to the word is letter A: enthusiasm. Enthusiasm, by definition is a strong feeling, in most cases, being excited, over something. So in the sentence:
The Wanderer’s eagerness to work again was overwhelming.
‘the Wanderer’s eagerness’, that is, the subject’s enthusiasm or excitement on to do something or to do a job, is so strong and he is clearly very determined as portrayed.