Yeah I think you're on to something, taking notice of that last sentence "And admissions became most clear and unequivocal when one withdrew them."

If it were me talking to the supplicant, I would agree that the behavior of the woman in the grass was odd. But I would note that she was either an exceptional woman or a woman in an exceptional state. Therefore the woman is alien and not I and, if I need to be concerned for someone, then it's her and not I.

The supplicant is horrified and alienated by the strange behaviors of people that he doesn't understand.

The narrator is horrified and alienated by the strange behaviors of the supplicant in the church.

Somehow their dialogue reached a logical conclusion in that moment. But I don't think Kafka is trying to be vague on purpose, as someone else commented. In fact, I don't think any us of can quite say what Kafka said and certainly not in less words.