Laryngomalacia is a common cause of noisy breathing in babies. Laryngomalacia resolves spontaneously in most cases before two years of life.
An otorhinolaryngologist is a doctor who specializes in the management and treatment of diseases of the ear, nose, throat and related structures of the head and neck.
An allergist is a doctor who specializes in the prevention, diagnosis and treatment of allergies.
Remember that for the proper selection of health professional that treats laryngomalacia you must consider the nature, severity and symptoms you are presenting.