Loose Skin Around Eyes After Rhinoplasty?

Typically, 10 days after surgery is much to soon to know if there is an issue. Give yourself several weeks before you make an assumption and see your doctor for all post-operative check ups. This is why most physicians require a 30 day, 3 mth, 6th mth and one year post operative appointments to track your healing process. 

2 possibilities.  1.  you are only 10 days after surgery and the swelling around your nose/cheeks is giving you temporary crow's feet.  after the swelling resolves, your eyes will return to normal.  2.  you had crow's feet before surgery, but didn't examine your face as carefully until you had surgery.  Give yourself some time to heal, I have a feeling when the edema resolves you'll be just fine.  

Fortunately it does not work the way you are describing. You don't just get crows feet after a procedure. You either had them before but never really paid attention to them. Most likely what is happening is that you have a lot of swelling still from you surgery and that is making them more prominent. Over the next 6-8 weeks most of that will resolve. I have found that when a person has facial cosmetic surgery you start to really look at yourself under a microscope and see things that you never saw before. I am sure this will resolve. Give it time.