Your car is front wheel drive so it relies on two "dogbone" engine mounts to secure the engine. These mounts specifically resist the torque produced by the engine as you accelerate. They are bolted to the top of the front cylinder head and to the car's body.
The engine torque will want to move the top of the engine away from the grille when driving, and towards the grille when reversing.
So chances are, the body structure in front of the engine may be bent or damaged, allowing the engine to twist in odd ways. The roaring may be the accessory belt or related part being allowed to contact something under the hood.