The criticism intensified after his casting, with some viewers expressing frustration over his pairing with professional dancer Amy Dowden.
Skinner has drawn controversy for meeting US vice-president JD Vance and wearing a Maga cap, alongside social media posts about patriotism and London's safety.
He stated he would not accept criticism from those he would not take advice from, adding that he has become a "target".
The Independent questioned the BBC's decision to cast Skinner, describing him as a "divisive" figure.