For whatever reason, it is extremely common for the PCV to fail when cars are idling for an extended period of time. This causes smoke out of the exhaust because it's just recirculating oil into the combustion chamber. It's not likely at all that your car overheated but everything will need to be cleaned (i.e. spark plugs, maybe injectors, etc.) to get it back running smoothly.
Low coolant levels are a different concern and should be investigated separately. I made a few videos about it on my youtube channel @kern417. Here's an example of what, that I'm guessing you got since you didn't get a low coolant message.