Albuterol is not addictive. That is to say that it doesn’t satisfy the usual criteria for addiction (uncontrolled, compulsive use +/- dose escalation, excessive time/energy spent seaching for a supply, neglected social and other activities, etc.)
However, excessive use of albuterol is associated with increased morbidity and even mortality from asthma. Bottom line, then, is that you should get your daughter seen pronto by a pediatric respirologist or allergist.
As an aside, in adults, use of albuterol or similar drugs more than twice a week is an indication to begin treatment with inhaled steroids. Although the word “steroids” might conjure up images of horrible side effects, that is something pretty well confined to long term use of oral or IV preparations. Inhaled steroids have little, if any, systemic effect or side effect when used properly (with a spacer, followed by a good mouth rinse, . . . )