Hello,
It does sound like you might have a defective engine mount.
So when the engine under load it vibrates.
If you need mounts, you should be able to visibly see the engine shake when you pop the hood with engine running. Usually revving the engine will make it vibrate quite a bit.
Also the primary engine mount is in the front, right behind the radiator.
It is a good chance that it got damaged during the accident.
You might find these articles helpful:
https://www.2carpros.com/articles/how-a-motor-mount-works
https://www.2carpros.com/articles/replace-motor-mounts
https://www.2carpros.com/articles/vibration-noise
I have attached the diagrams for your reference.
Please let me know of any questions.
Thank you.
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Monday, August 2nd, 2021 AT 9:30 PM