See A.R.S. §32-506 which exempts certain people from licensure including:
(11) Persons who provide a service that results in the removal of hair from its follicle from around the eyebrows and from other parts
of the face with the use of a single strand of cotton thread and an over-the-counter astringent, if the service does not use chemicals
of any kind, wax, or any implements, instruments or tools to remove hair.