How hot is hot?

Some of the newer engines run between 220º and 230º. The factory gauge on my Darts pegs at 250º.

It's not uncommon for an auxiliary fan to run for quite a while after shut down, particularly on a cast iron engine. Most aux fans are set to come on around 210º. That means that the fan is working to kill 10º without getting any help from the water pump.

Using a candy thermometer to check water temp is a good idea. Suggest buying one for the shop. I think most women would take a dim view of appropriating their kitchen stuff for automotive repairs. (Trust me, I have firsthand experience. Or, I did it so you don't have to.)