>>21517571 (OP)
>authentic Turkish Kebabs.
This is where you went wrong. You called it "authentic" so you opened yourself up to all this criticism. I have labelled this "Shawarma style chicken wrap with tzatziki"
The pickled cabbage is Lebanese, which I love on a falafel.
The tzatziki is not how they do it in Turkey, they'd use some shelf-stable non-dairy garlic mayo sauce instead. They would also have some kind of red sauce. Your sumac marinade was nice, probably needed coriander. I would have skipped the hummus on the sandwich, which would thin out the deliciousness. I'd also have added cucumbers and tomato to the lettuce. I'd also have added some of the lemon zest to the tzatziki.
The tzatziki is supposed to have dill. It's a preference to leave it out (like the babby reading this thread is who all offended by highly popular dill), and you did fresh cucumber and garlic, perfect. There is never cumin in tzatziki (as some other idiot suggested you add).
The wrap didn't tear or fall apart, so no heating was actually needed in this case. Nice job, thanks for posting.