Complex sentence: She took a lively interest in affairs of state, and was a noted patroness of theater, poetry and music, and the "Queen Anne Style" was named after her in Queen Anne style architecture and Queen Anne style furniture.
Split into simpler sentences: She took a lively interest in affairs of state, and was a patroness of theater, poetry and music. The "Queen Anne Style" was named after her in Queen Anne style architecture and Queen Anne style furniture.