You would almost certainly be better off claiming her and you getting the education credit since, if you qualify, you can get the refundable part of the American Opportunity Credit and you get the stimulus payments for her. But to answer the other part of the question, you can choose not to claim her in which case she would be able to claim the non refundable part of the education credit. If you don’t claim her she would still have to check the box saying that someone can claim her and she would not get any stimulus payments.
