It is not ethical for Karla to go through the neighbor's trash.
First of all, Karla benefits from looking through her neighbor's trash. She engages in this behavior with the goal of learning sensitive information about the neighbors. Regarding the legal system, Karla cannot be made to comply with any laws due to her involvement in such activities.
Note that she also takes the trash from the neighbor after they leave for work but before the trash collector arrives, but she never makes use of this information. This suggests that her work is pointless or not profitable. Simply because the norms of the society in which we live forbid anyone from spying on neighbors, it is ethically unacceptable to do so in any way.
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