Conservative councillors have warned they "are probably not going to turn up" at meetings amid an ongoing row to oust the council's vice chairman.
All of Babergh District Council's Tory members did not attend its full council meeting on Tuesday evening.
This comes after a motion to oust vice chairman Cllr Derek Davis from his position earlier this month was lost by 16 votes to seven.
The vote was brought after a Facebook post shared that referred to Conservatives as 'b***ards'.
The group has been criticised with the move called a "shame on our democracy".
Speaking as leader of the Conservative group, Cllr Simon Barrett said: “We are probably not going to turn up to a meeting until Derek Davis resigns.
"He called us 'Tory b***ards' so we're going to be looking for our fathers.
“In the meantime, we’re doing all our ward work and looking after our electorate.”
Cllr John Ward, leader of the council and part of the separate group of Independent Conservatives, said: “It is incredibly disappointing that the group has decided to boycott the meeting.
“To use a phrase that Simon Barrett uses very often, it is not a good look.”
Liberal Democrat councillor Bryn Hurren said the move by the Conservative group represented “shame on our democracy”.
The Independent Conservatives separated from the Conservative group in April.
This was due to Cllr Davis’ removal from the cabinet, which he said was a result of pressure put on Cllr Ward to do so from Cllrs Simon Barrett and Sian Dawson, who were unhappy with his role as journalist.
The Conservative group includes Cllrs Susan Maria Ayres, Melanie Barrett, Simon Barrett, Peter Beer, Siân Dawson, Mick Fraser, Michael Holt, Margaret Maybury, Mark Newman, Zachary Norman.
The group of Independent Conservatives consists of Cllrs Mary McLaren, Adrian Osborne, Jan Osborne and John Ward.
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