sidonglobophobia

But perhaps the strangest phobia we've heard of is sidonglobophobia. It's the extreme fear of cotton balls - usually these individuals can't touch them, and are particularly terrified of the sound cotton balls make when torn apart.

2015 October 9, Signe Dean, “Here's The Science Behind The World's Rarest And Weirdest Phobias”, in Science Alert

I, on the other hand, have sidonglobophobia, or an intense fear of cotton balls.

2017 July 19, Crystal Ponti, “Investigating My Lifelong Phobia of Cotton Balls”, in The Cut

David Burns, 40, who suffers from sidonglobophobia — a condition that makes him “fearful and anxious” when around cotton wool balls — was sacked after reacting to repeated provocation which included being pelted with the balls and finding them tied to pieces of machinery he was working with at Plastic Mouldings Ltd in Irvine, North Ayrshire

2018 October 25, David McCann, “Worker teased over phobia of cotton wool wins payout”, in The Times