The 42-year-old appeared at Westminster Magistrates’ Court on Thursday charged with two counts of harassment causing fear of violence.
The offences are alleged to have taken place through his X social media account between 5 and 7 August 2024.
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Robinson, whose real name is Stephen Yaxley-Lennon, entered not guilty pleas to both charges.
He was bailed by Senior District Judge Paul Goldspring to appear at Southwark Crown Court on 3 July.