FYI, mold does "feel" fuzzy, you need to look closely at it. It can range from slightly fuzzy like a peach to huge hairy formations like cotton candy or fur.
Assuming it's not mold, then it's yeast and/or bacteria -- the "B" and "Y" in SCOBY.
The SCOBY has a diverse population of microbes, and it evolves to some degree over time due to changes in condition and very lax sanitation practices used in kombucha production. That's why everyone's pellicle looks a bit different.
Mold is the only thing you need to fear, because mold is allergenic and may produce toxins and/or carcinogens.
There is a lot of bad advice out there on the web. Why should you believe what I say? I have professional training in chemistry, organic chemistry, biology, medical microbiology, and toxicology, as well as a keen interest and experience in wild fermentations like kombucha.
Cheers