Will continuing to print with an extruder with a fan that no longer works cause damage to the extruder?
Will continuing to print with an extruder with a fan that no longer works cause damage to the extruder?
Well, depends.
If it's an all-metal extruder, definitely yes.
If it's not an all-metal extruder, then no BUT your print quality will degrade noticeably for materials with active cooling (like PLA) because it won't cool fast enough.