More likely an endotracheal tube, which goes into your windpipe, through the vocal cords (not chords) so that the anaesthetist can ventilate the lungs during surgery, and to prevent anything from your stomach or gullet (œsophagus) getting into your lungs. They do come in different sizes, but it’s best to have one which fits the airway (also has an inflatable cuff to make sure of a tight fit).It is quite common for people to wake up after anaesthesia with a slightly sore and hoarse throat, but really quite rare for the effects to be lasting.
Vocal cord nodules, or “singers’ nodes” are quite common among professional singers, and the voice will sound hoarse while they are still there. Removing them is not without risk of making things worse, as a number of singers have found.