Can a non-physician own a med spa in Oklahoma?

Short answer
The cited rules do not settle this — an entity may employ licensed Oklahoma physicians without itself practicing medicine, but in a professional entity shareholders must be individuals licensed for the same or related services, and managers licensed too.

Oklahoma writes an express employment carve-out. An entity whose principal purpose or function is providing hospital or medical care may employ one or more persons duly licensed to practice medicine without itself being regarded as practicing medicine, and the employment does not, in and of itself, count as unprofessional conduct by the physician employed. Separately, obtaining or offering to accept any fee or other remuneration on the assurance that a manifestly incurable disease can or will be cured is unprofessional conduct. And the professional entity act answers ownership in the other direction. No person may be a MANAGER of a professional entity who is not duly licensed for the same or a related profession, and “No person may be a shareholder of a professional corporation who is not an INDIVIDUAL duly licensed” for it — a natural person, not another entity. The entity may render professional services only through owners, managers, employees and agents who are licensed, with clerks, secretaries, bookkeepers, technicians and other assistants expressly outside the term “employee” for that purpose. So the employment carve-out governs who may EMPLOY a physician; the Professional Entity Act governs who may OWN and MANAGE the entity, and the two answers differ.