An executor will not be held personally responsible for paying off a deceased credit card debt or other debt. However, an executor can be held responsible for mistakes made while settling an estate.
If you follow the procedures laid out by your state’s probate court, you shouldn’t have a problem.
The executor is required to make an inventory of the deceased assets (the car) and debts (the car loan, the credit card balance, mortgage, etc). Any assets must first be used to pay creditors for outstanding debt, with the order determined by state law. If a car loan is worth less than the car, for example, the car typically would be sold, the car loan paid off and any remaining equity used first to pay the costs of settling the estate and funeral expenses.If there’s money left over, it would be used to pay as much as possible of the credit card balance (assuming there are no other debts that would take priority, such as federal or state tax debt).