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27 states have adopted stand-your-ground laws. Eleven states restricted the right of armed response to their homes -- the "Castle Doctrine" -- and saying that people have a duty to retreat from threats or danger in public places.
For example, Florida lets you open fire on someone forcibly trying to enter your dwelling -- including your attached porch -- but not the rest of your property (such as a yard).
and in the photo she is technically on your porch if she attempts to open a door or smash a window, well...
But remember: Shooting at a trespasser is always a legal gamble. The legality of such actions is incredibly state-specific and fact-specific. Property owners could potentially be held liable -- civilly and/or criminally -- if their efforts cross the line.
So calling the cops is the first thing to do and securing the property with proper fences trespassing signs locks etc would be advised or just get a dog