Which court primarily hears appeals from felony cases?

The Court of Criminal Appeals is the highest court in Texas specifically designated to hear appeals in criminal cases, including felonies. This court's jurisdiction is focused solely on matters involving criminal law, which includes reviewing decisions made by lower courts regarding felony convictions. When individuals are convicted of felony offenses, they have the right to appeal their convictions or sentences. The Court of Criminal Appeals evaluates these cases to ensure that justice has been served and that legal standards have been adhered to.

The District Courts, while they do handle felony cases at the trial level, do not serve as the primary appellate court for felony appeals. The Texas Supreme Court primarily deals with civil cases and matters concerning the Texas Constitution rather than criminal appeals. County Courts may address certain misdemeanors and civil cases but are not the appropriate venue for felony appeals. Therefore, the Court of Criminal Appeals stands out as the correct answer since it is specifically structured to address and resolve felonies on appeal.