Which of the following is NOT recognized as a peace officer in the state of Texas?

The question asks which entity is not recognized as a peace officer in the state of Texas. The correct choice indicates that all the options listed—sheriffs and their deputies, constables and deputy constables, and marshals or police officers of an incorporated city—are indeed recognized as peace officers under Texas law.

In Texas, peace officers have specific responsibilities and powers defined by state law. Sheriffs, as well as their deputies, are responsible for law enforcement at the county level. Similarly, constables serve as law enforcement officers in precincts, and their deputies have similar authority. Marshals and city police officers are tasked with law enforcement duties within incorporated cities, enforcing local, state, and, in some cases, federal laws.

Each of these roles plays a crucial part in maintaining public safety and order, demonstrating that they are all classified as peace officers. Consequently, stating that "all listed are Texas peace officers" accurately reflects the legal definitions and roles supported by the Texas Code of Criminal Procedure.