It sounds like you might have a faulty sensor.
As you mentioned the engine was not hot but the message center says engine hot can mean there is a fault with the sensor.
It also might be a good idea to make sure you do not have air in the cooling system.
Remember to work on the engine when it is cool.
I have attached the coolant temperature sensor replacement as well as wiring diagrams for your reference.
Please let me know of any questions.
Monday, August 2nd, 2021 AT 1:10 PM