Sentence:  When in one letter Jessica informed me that her father did not like the idea of her going out alone on New Year's Eve , I knew for a moment an immense relief ; but the letter went on : she had cried , she had implored , she had been miserable at his refusal , and <WSD>finally</WSD> he had relented - and now how happy she was , how expectant ! 
Meaning of the word marked with <WSD> tags:  after an unspecified period of time or an especially long delay