Freddie Starr has pulled out of a performance in Swindon this week.
The comedian was due to appear at the Wyvern Theatre on Wednesday. The decision comes after he was arrested by officers investigating sexual abuse allegations made against Jimmy Savile.
Starr denies all allegations.
More top news
Military personnel are unlikely to be deployed on the streets of Avon and Somerset despite an increase in the national terror threat level.
The major party leaders' campaigns for the General Election will remain suspended on Wednesday following the Manchester terror attack.
The threat level has been raised to critical by MI5's Counter-Terrorism Analysis Centre.