You would definitely take a ding for AAoA but your utilization is what is hurting the most. You could always have the card removed and when the utilization is down have it added back. Does this card typically carry a high balance?
I figured your overall utilization to be 63% which is still high and without that card it would be 30%. Even if you are removed from that card you would need to bring your utilization down to 9% or under.