Jeffrey Pullicino Orlando has filed a police report after receiving what he viewed as threats to his family.
Speaking at a press conference he said he had received a message which he viewed as including a physical threat. He did not go into further details.
He said he frequently received other messages, which he ignored, such as that Our Lady disagreed with what he was doing.
Divorce Movement head Deborah Schembri said she often received disquieting messages, although she had not reported any to the police yet.