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Your lender should have known that the AU account was the thing killing your utilization. Never ceased to be amazed by the extent to which loan officers confidently issue worthless advice (pay your $500 CL down and it will solve your problem).
Certainly one can get removed as an AU, and yes in this case it will help your score a good deal, but it can often take a while. If you are doing rapid rescores then you may be trying to be a house in the next few weeks.
Can your daughter pay the card down to $0? That would be the best solution. There will still need to be a rapid rescore done.