Yeah the animal rights people and DFW would be all over you for shooting one but the greater offense you would most likely be charged for is discharging a firearm within city limits. Not to mention if you were contacted by Law Enforcement shortly after, they would approach knowing you were armed and well, it will be unpleasant.
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”The beauty of the Second Amendment is that it will not be needed until they try to take it.”
~Thomas Jefferson.........maybe