Are you referring to the charging "brick"? That "sounds" like it may be too hot. Is your father's also that hot?
If you are in the US, you should go to the closest physical retail Microsoft Store https://www.microsoft.com/en-us/store/locations... and have them check this out in person.
This is the replacement for both yours and your fathers - https://www.microsoft.com/en-us/store/d/microso... - it certainly does not hurt to have a spare adapter as well, but it might be worth getting one of these and testing.
I use this adapter and it is never "too hot to hold".
Where are you located? If you are in the US and not near a Microsoft Store the Best Buy stores have them at some locations https://www.bestbuy.com/site/microsoft-wall-cha...
Let me know..
Hope this helps. If it resolved your issue, please DO mark as Answer.