Rough idle only when engine is cold

Hello my name is Dave.

Have you had the car scanned to see if there are any trouble codes? If it has none and you have covered most of the common causes of the issue you have described I am going to suggest checking the coolant sensor, if it is reading incorrectly, especially if it is reading higher than actual temp then the computer isn't going to provide enough fuel to make it run smoothly especially at idle. If you can have the sensor tested and/or replaced that would be a good place to start. If it does have a trouble code and you could get back to us and let us know what it is that would be greatly helpful in diagnosing the issue.

Check out this link:

https://www.2carpros.com/articles/checking-a-service-engine-soon-or-check-engine-light-on-or-flashing

Please keep us informed on your progress and thank you for using 2CarPros!

Do you smell the fuel only when it's cold or at other times? The next step I would take is to look at the spark plugs and see if they are fuel fouled which will look black and maybe even wet or if they have signs of running lean which will look white and chalky. If either conditions exists we need to find out if it's one or more of the plugs (cylinders). If they are all showing signs of running lean that would lead me to suspect a relatively small vacuum leak or slightly low fuel pressure, if one or two are showing signs of running rich I would suspect a bad fuel injector. If you could take some pics of the plugs and get back to us that would be a great help in chasing this issue down. Also if you let us know which cylinder each came from that would further help. Please keep us up to date on your progress and again thank you for using 2CarPros!