We do have adjectives womanly and flowery, which can be used to describe the appearance or characteristics of something. A flower shop doesn't have the appearance of flowers; it sells flowers, and a women's toilet is for women and like similar to them. A colourful house would be painted or made out of materials with lots of colours or bright ones, etc.
With your example, I would use education policy for the policies that guide the education system. An educational policy could teach you about anything- it could be health, for instance.
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