Can I make my pet sick?

Hi friends, it's been a while now since I shared some info here about animals. There is more than one reason for this one of them being that I was down with viral fever for almost 10 days! During these 10 days I was suffering too much but to add to my woes my (good?) neighbour never allowed Bittu, his pet cat near me for all those days! Bittu has been visiting my home ever since I moved to this place some 3 years ago! She is a cute little cat and is a delight to watch and play! Whenever my mother went to my neighbour's to bring Bittu to me my neighbour used to protest! He was afraid that Bittu could catch the flu from me!! I was happy that my neighbour has been so caring about his pet cat!! How nice it would be if everyone were like that towards their pets?! But can I make my pet cat sick? I certainly do not know and I decided to find out. My veterinary friend says that there are viruses that are zoonotic which can pass from animals to humans and vice versa but not all flu viruses do that!! Some of these species-specific and very rarely will affect both animals and humans!

Folks, I will be writing more on this in the coming days! Thanks for reading!