Make no mistake; freezer burn is not good. But it doesn't mean that freezer-burnt shrimp will make you ill if you eat it. You can consume it, but it won't taste as good as unburnt shrimp. Although the taste of freezer-burn shrimp will only be slightly negatively affected, it will affect the shrimp's color and texture. It is likely to make it less moist. So, in conclusion, freezer-burnt shrimp is quite edible.