I think the type of epithelial tissue is the simple columnar epithelium.
The Vermiform appendix is a blind-ended tube connected to the cecum, from which it develops in the embryo. The cecum is a pouch like structure of the colon, located at the junction of the small and the large intestines. A simple columnar epithelium is a columnar epithelium that is uni layered. It lines most organs in human of the digestive tract including the stomach, small intestine and large intestines.