The Lagan Valley representative was speaking after Mrs Palmer said she was left feeling vulnerable after she was targeted online having failed to retain her seat in last week’s election.
“No-one should have to put up with online trolling and abuse,” said Trevor Lunn MLA.
“Jenny stood for re-election on a peaceful platform, while those behind these messages only aim to distract from our democratic process.
“Elected representatives must take a strong stance against all forms of intimidation. Jenny has been an excellent public representative for many years and does not deserve this kind of treatment.”