No, it means neither of those. It quite literally means "I don't dislike her".
A: "Why do you dislike Anna?"
B: "I don't dislike Anna. I've never even met her."
Or he might know Anna, and have no feelings one way or the other about her. If he is accused of disliking her, the natural response would be, "I don't dislike her. I barely know her."
Student or Learner