I will provide an honest answer. I trust this will be appreciated. Please remember that a low rating PUNISHES me for being honest and that I receive nothing for my time until a positive rating is clicked.
as I am sure you can appreciate it is very difficult to diagnose a vibration that one cannot experience first hand. I will, in good faith, make every effort to share relevant information and ideas about your issue. I hope this is appreciated.
if the vibion is from the front of the car, and only exists when cold, then unfortunately it points almost certainly to an engine issue - there are not many other parts in the front end that would exhibit a temperature dependent vibration
common causes of this type of thing would be a bad temp sensor, a fuel pressure problem (leaky injectors, fuel pump, check valve, etc) or air leak
as for front end, no engine parts that coud cause vibration, these would be engine mounts, wheel bearings, and suspension components, but I do suspect the issue is engine related based on your description
Please let me know if you have further questions. Please do not forget to click a positive rating as this is the only way I receive credit for my answer, thank you. Best wishes with your vehicle.