No, this is not going to happen. Turnitin, just like any other software of this type, is designed only to detect parts of the content that are not fully original. However, once you place your order, you provide us with the final draft of the work that you’ve written, and all we do is help you make it look better.
Respectively, the final piece you get is guaranteed to be 100% unique, so you can stay rest assured that Turnitin will not show any plagiarism, and no one will ever learn that you came to us.