The question is:We don't hate that she is therelà. Why is Nous ne haïssons qu'elle soit là.
And, in addition to what Maarten wrote, you are missing a pas as part of the negation in your sentence.
Your question is incomplete but it looks like you want to answer a quiz that is specifically testing using aimer que or détester que, with an answer that uses ‘haïr que’, ? Context is everything, and if it is not a free form quiz, the question is directly related to the lesson.
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