I think it really just depends on the person. I have horrid allergies, I can't be around most cats and dogs or I'm wheezing, eyes are itching, sneezing and nose is running. I chanced it though and got Lilly. She doesn't bother me at all. I snuggle in her fur, give her kisses, let her give me kisses and I'm 100% fine. However, if I pet my mom's cat or anything, it kills me.
Lilly does bother my mom's allergies a bit though. My mom has EXTREME allergies though, she can't wear hardly any make-up and she's allergic to several other things.
I think I just lucked out and Lilly was meant especially for me.