I had rhinoplasty surgery early Monday morning.. My eyelids are so swollen, how long will they be like this?

Thank you for your question.  No worries.  Swollen eyelids are very common after a rhinoplasty.  There are things you can do to lessen them, though.  First all make sure you are taking all the medications given to you by your surgeon.  This includes antibiotics and sometimes an anti-inflammatory such as steroids.  Keep your head elevated while sleeping and resting, lying in a recliner is a great idea!  Use ice packs and as tolerated start a gentle massage.  Begin the massage on the eyelids near your nose and slowly go out towards your ears.  Do this four to five times a day. Check in with your surgeon or surgeons nurse of course and let them know, too.  Good luck.