The history on the Church can be read here.
The edifice is popular as the seat of the cult of Saint Lucy of Syracuse, whose remains are housed inside.[…]The church is object of pilgrimages and wide devotion for the presence of the relics of Saint Lucy, which were carried here in 1861 when the nearby church dedicated to her was demolished. In 1955 Angelo Roncalli, future Pope John XXIII and then Patriarch of Venice, had a silver mask put on the saint’s face to protect it from dust.The saint’s body was stolen on July 7, 1981, but was restored in December of the same year without any ransom.
The Crucifix can be seen at 26 seconds here:
Video of the damage and description of attack in Italian:
Article in Italian here. Partial machine translation reads:
A young man of North African origin likely entered the church of St. Jeremiah and has heavily damaged the religious artifact. It was stopped by the caretaker and some faithful.
“It’s wrong. It’s all wrong,” he kept repeating the young Muslims that this morning has created havoc in the church of St. Jeremiah , in Cannaregio, Venice (the same one that houses the relics of Saint Lucia).
The man had been reported outside the church a little ‘revved up: Then, entering the place of worship, began to freak out. In a video spread online, the guardian tells what happened, shocked: “He tried to cross the main altar of the church. He said that ‘something was wrong'”.