Horney did not believe in Archetypes. This was the basic theory proposed by Carl Jung. They do not appear in her work anywhere.
Rather she believed in the individual's potential for self-realization, and that the goal of psychoanalysis should be moving toward a healthy self rather than exploring early childhood patterns of dysfunction.
Horney’s theories focused on the role of unconscious anxiety. She suggested that normal growth can be blocked by "basic anxiety" stemming from needs not being met, such as childhood experiences of loneliness and/or isolation.