Kitty shouldn't have done that, and its not like Shaw would care she did anyway. He's an imperialist who would be colonising nations if he was leading Krakoa. Shaw committed cold blooded murder of a fellow mutant and did so precisely because he thought she wouldn't be resurrected quickly by the Five. It was a power move.
But that isn't why this incident was a response to the propaganda about Krakao. The two events have one thing in common, Charles Xavier. It was he who convinced Emma to bring Shaw back to the Hellfire Club/Corporation. He had to know betrayals like this was bound to happen and he did it anyway. Decisions like this are the crack in the foundation of Krakoa and why characters outside of Krakoa are questioning its motives. It's also why Krakoa must be a closed society to outsiders to protect its rotten core from being noticed by its own citizens who would normally be fighting back against this sort of corruption.
edit: It's disingenuous to complain how non-mutants/humanity because they bring the risk of colonisation shouldn't be on Krakoa when Krakoa itself aligns itself and employs imperialists and colonising entities in its government so much it goes out to get them, like with Shaw. It aligns itself with the Shi'ar, Kree, and Skrulls who subjectate world with colonial agendas, employs cartels for its own purposes like Reagan, and authorises genocidal tyrants at the highest levels (Apocalypse, Magneto and Shaw are on the Quiet Council and Selene monitors Krakoa itself).
Edit: Here's Shaw explaining how he got the cartels to work for Krakao.
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