Connolly’s husband rejected a call from a local MP for his resignation from West Northamptonshire Council, but lost his seat in this year’s local elections as Reform UK took control of the unitary authority.
He remains a member of Northampton Town Council.
After Tuesday’s appeal court decision, he issued a statement saying he was “heartbroken” his wife’s appeal had been dismissed.
“My wife has paid a very high price for making a mistake and today the court has shown her no mercy,” he added.
He went on to say that “the 284 days of separation” had been “very hard, particularly on our 12-year-old girl”.
“Lucy posted one nasty tweet when she was upset and angry about three little girls who were brutally murdered in Southport,” he said.
“She realised the tweet was wrong and deleted it within four hours.
“My wife Lucy is a good person and not a racist. As a childminder she took care of small children of African and Asian heritage; they loved Lucy as she loved them.”