Take a good look at the oil
. After overheating the cooling
is only being done by the oil
. Overheated oil will smell bad and be black.
Probably a good idea to change the oil and the filters as soon as practicable.
As far as the overheating event, it's not a good thing and damage is possible.
When you change the oil, you can cut the filter open and examine the paper element inside. There are cutters made for this purpose that look like tube cutters - It is common prectice in the aviation business to cut the spin on filters open so you may have to source it at an aviation shop, borrow one or take your filter to teh airport mechanic
and beg him to cut it open for you.
You can use something else but nothing like a hacksaw that will create its own chips. Cut it around the circumference at the base end. Carefully open it and remove the paper element. The paper element flows from inside to outside so you will need to carefully cut the element open and lay it out.
You are obviously looking for metal particles. Bronze for bearings, shiny hard metal for things like rings and cylinder walls. If you have metal you have problems and further troubleshooting will be required.
If you find metal (depending on what it is) you may do a compression
leak down check and to look for ring and cylinder damage. Borescoping the cylinders is also a technique.
I don't mean to be a scaremonger, just giving you some options. The engine is probably fine. We had a belt break too. Same symptoms and she's running fine a year later.