Cat fur is fine, but…
My sister keeps several cats. She threw a party a few years back and had all the food spread across the kitchen table. Chicken, meatballs, lasagna, desserts; a lovely display. As I approached the table with my plate, one of the cats jumped up, landing in the meatballs. This didn't bother him at all. He walked straight across to the chicken, leaving cat prints in everything along the way. Having observed him using the litter box just minutes earlier, I was suddenly not hungry.
My sister picked him up, put him on the floor with his stolen chicken piece, and called for the guests to come get their food.
I love my sister :)