Any Suggestion For Child Having Swollen Face/eye Lids, Cough, Shallow Breathing?

My 2 year old grandaughter's eye lids are swollen, face is somewhat swollen, during night runs low grade fever, hacking mucus sounding cough., shallow breathing while napping...her pediatrician says "allergies - nothing to worry about." Shouldn't she be seen by allergist? I take care of her daily and am very very very worried. I recently adopted a dog - short hair - which she sees every day....symptoms occurred afterr dog arrived. My son is allergic to penicillin, my daughter-in-law allergic to pollens....I am allergic to sulpha....shouldn't we get our baby's problem specifically identified? soon? My son tells me the doctor isn't worried so we shouldn't be. Thank you. I won't tell him I'm consulting you. : )