I read about a devotee who was determined to offer khichdi to Baba. What was the outcome of her persistence?

You are referring to the story of the lady from Berhampur, detailed in Chapter 28. After being drawn to Shirdi by a dream, she and her husband stayed for two months. However, for fourteen days, she was unable to make her intended offering of khichdi. Growing uneasy with the delay, on the fifteenth day, her resolve strengthened. She arrived at the masjid at noon with her offering, only to find that Baba had already begun his meal behind a curtain. Not heeding the custom of not entering, and driven by her intense desire to fulfill her vow, she moved the curtain with her own hand and went inside to make her offering, thus fulfilling the purpose of her journey from Akola.