The correct option is D she was married to her job
Personification is a figure of speech, in which inanimate objects or
abstract ideas are given human-like qualities; they're spoken of as if
they're human beings. For example, "Opportunity knocks at the door but
once", opportunity is an abstract idea that is spoken of as if it has
hands to knock with. In the given sentence, the "job" is given the quality of a human, to whom the person "she" seems to be married to; hence the phrase in option D is a personification and D is correct. "Was so busy" is a verb phrase that expresses the past tense, "her work" is a phrase with a pronoun and noun, "we all felt" is a phrase with a subject and a verb. These three phrases do not function as personification but as verbs and nouns, hence options A, B and C are incorrect.