Twilight Sedation Vs General Anesthesia for Septo-rhinoplasty?

Your nose is part of your airway, so I prefer to use an endotracheal tube to protect the lungs and lower airway. I perform almost all nasal-septal surgery with general anesthetic and an oro-tracheal breathing tube.This is my personal preference, although there are many experienced Rhinoplasty Surgeons that utilize "twilight" anesthesia.
You should clarify what type of "air mask" your anesthesia nurse mentioned.
I hope this is helpful for you.

The safest anesthesia is general anesthesia with endotracheal tube that goes into the wind pipe and has a cuff(balloon) filled with air to seal the wind pipe and prevent any blood of secretions from getting into the lungs.
Twilight sleep is ok as long as you don't end up having some bleeding. There is always a risk of that.
In terms of recovery, even with general anesthesia these days the medications are so good that recovery is fast.
Regards