Canine tooth extractions are obviously more invasive. The dog should be on antibiotics, starting a few days before surgery.
They usually recover just fine, feed soft food for a week or so and they are good to go.
The only risk I know of with upper canines is that the hole that gets covered with a skin flap and sewed shut can open up again and create an opening to the sinuses, which can get infected if food gets stuck in there.
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Christina
and the Hounds