What is the ruling on a female administrator in a Quran memorization school dealing with the Sheikh supervising the school in work-related matters, given that there is no khalwa (private seclusion) or speech outside the scope of work?

Memorizing the Quran is one of the best ways to draw closer to Allah. There is no harm in a woman working in administrative roles with women and children; it is Islamically permissible, provided that she does not neglect her duties towards her husband and children, and that her work and appearance do not involve any Islamic transgressions.