MacBook Pro Power Supply Gets REALLY HOT

Brian Pylant wrote:

(If it's relevant, the battery was replaced by Apple in June 2019. I cannot say for certain if the power supply was getting hot before that or not...)

The power supply will get warm/hot when under a load. Your Mac will never overcharge.

Typically always prefer to use the 3 prong grounded extension cord.

Apple Portables: Troubleshooting MagSafe adapters - Apple ...

The power supply bricks are generally rated in wattage e.g. 45, 60 and 85 watts. The 2012 to 2015 MBP use a 60 watt power supply usually with a 'T' or 'L' shaped magsafe connector.

In About this Mac, select System Report>Power supply. This will show battery health (worth checking, even for a recently installed battery).

Then check the wattage of your power supply. It will be printed on the brick usually just below where the 3 pin adaptor slots in.

If the power supply was supplied with the MacBook, it may be a tad tired. Replacements are not too expensive.

With the appropriate model number or serial number, it's possible to check the specs of your MacBook via EveryMac.com which can be found via Google.

Also, check that your magsafe connector is the correct type for your model: this applies when you need to purchase a replacement power supply

https://www.amazon.co.uk/s?k=macbook+pro+15+inch+charger&ref=nb_sb_noss

I've seen the Apple chargers get hot, but if you cannot touch it safely then there is likely a problem. You can always take the laptop & charger to an Apple Store to be examined just to be safe and get their opinion.