If you are not claiming your daughter as a dependent on your tax return then you would not claim the 1098-T. However, her "residency" status would have to be determined by the criteria determined by the
state and/or her university
. Sometimes that will require that she file a state return as a independent taxpayer but you would have to review what her university/state will require. If she decides to file her own tax return and claim her own exemption then you would not be allowed to claim the 1098-T or any of the education expenses on your tax return.