Can my cat sleep in the same bed/room as me after Rhinoplasty?

I had my rhinoplasty done a week ago and my doctor told me to stay away from my cat for 4 weeks. It’s unclear to me why and it’s impossible unless I leave to stay with another family member (currently living with my parents) my healthy indoors cat is very calm and never scratches or attacks me, so if that’s what’s dangerous then I have no worries. But could the fur be a problem? He does have long fur. Should I let him sleep next to my feet and not go near my face or should I leave the house?