Could my 3 month old daughter be allergic to my chihuahua?

i have a 3 yr old Chihuahua and shortly after bringing my daughter home after birth her little eye began to fill up with cold. I have to clean it several times a day because it is steadily filling up with icky greenish Yellow gunk. I always heard that these dogs were good for taking allergies away from babies but i am beginning to wonder if she is causing them. I really don't want to have to get rid of my dog she is like part of the family but for the health of my baby I would if I need to.