While St. Catherine's Church itself, adjoined to the Basilica of the Nativity in Bethlehem, doesn't have a specific history related to food, the town of Bethlehem and the surrounding areas have a rich and diverse cultural heritage that is reflected in their culinary traditions. The local cuisine has been influenced by various cultures over the years, including Middle Eastern, Mediterranean and even remnants of Ottoman empire influences. Christian holidays, especially Christmas, bring a variety of special dishes and sweets to the forefront in Bethlehem, as the area celebrates the birth of Jesus Christ here, where St. Catherine's Church hosts a famously broadcasted midnight mass.
Please note that while not all restaurants specifically address Catherine's Church, they are located within Bethlehem, offering an authentic taste of local cuisine for visitors after exploring the church and other historical sites.