It's fine. I would call "crazy" the cat who doesn't like turkey.
Real meat, boy oh boy, what a treat. A bit of lettuce to go along with it won't hurt either. I am just a bit curious what you define as a "chunk?"
Many of us have potted grass in our houses to satisfy our cats' urge to graze on a bit of green every now and then. All four of my cats have a nibble of it every day.
A bit as a treat now and then is fine. If you are feeding full meals worth then maybe you'd like to read up on cooking meals for your cat? Or even investigate raw feeding your cat? What is your main food?