Deadbolt door trim guard?
How about a door edge guard? These door edge guards are constructed of solid brass and come in a variety of different  finishes. These door edge guards are used to protect the door trim from being dented or damaged by swing bar type locking hardware. They feature an adhesive backing that provides for a quick and easy install, together with the assurance of a strong and permanent hold. These types of edge guards are designed for use in both residential and commercial applications.



You can get them at Walmart or Amazon.