Some people are shocking aren't they, I work for a dog charity and we face simular issues all the time.
I also have allergies to animals but I wouldn't EVER consider giving Jess up, when I asked the pharmacist a question about my eczema his response was well get rid of the cat, I was livid with him and said well if I was allergic to children what would you expect me to do get rid of them!
We also have dogs in or office which can someitmes set me off but hey thats life I just get on with it, I'm personally keeping kleenex in business you know.