Answer: A) Objective.
Explanation: Pronouns have three cases: nominative, that is when the pronoun is the subject of the sentence (I, you, he/she, it, we, they); possesive, that is used to show ownership or possession of something (My, mine, our(s), his/her(s), their, its, and yours); and objective, that is when it is used as direct object, indirect object, or the object of the preposition (Me, you, him, her, it, and them). In the given sentence, the bolded word (her) is an example of a pronoun in the objective case.