I believe the answer is: A. "I am sorry," he said, and patted me on the shoulder with his good hand. "I would not be rude. My wife has just died. You must forgive me."
The word resign indicates accepting some sort of feeling or situation that cannot be ignored or pushed aside. From the sentences in option A, we can infer that the reader already accept the fact that his wife has died and acknowledge that his emotion is influenced by it.
Answer:
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She borrows the necklace from her friend then loses her necklace and spends years paying off a necklace that was not worth a lot
B) she cannot give up the certainty of home for the hope her fiancé offers her