This district was probably established after the erection of the Chapel of the Crucifix of the Mother Church. From that moment on, efforts were made to identify an area outside the town to represent Calvary. At the beginning, it was almost certainly a chapel or at most a small oratory surmounted by a cross. In 1804 and 1830, the Church of the Cross does not appear in the list of existing churches in Delia, a fact confirmed by the 1830 town map, where Calvary is shown as described above. The first church seems to have been built, in place of the oratory, in 1925 according to Adamo, or in 1929 according to the diocesan yearbook. Russo, in his publication, still speaks of an oratory rebuilt by the priest Vincenzo Micelisopo.
The Church of the Holy Cross stands on Piazza della Croce. The building is preceded by a staircase with a central terrace, where the cross is placed, from which the theater-like shape of the village can be admired. The main façade, gabled and flanked by bell gables with a straight termination, has a brick arched portal, surmounted by a lowered arch window. Inside, it houses the statues of the Crucifix and the Virgin of Sorrows from the Ortisei school, as well as a statue of Our Lady of Fatima. Recently, the church’s interior was enriched by a 17th-century statue of St. Francis of Assisi from the former Church of St. Joseph. The sacristy has also recently undergone significant restoration work.