Answer

In traditional Jain monastic hierarchy, your two statements are mostly correct:

1. Yes — a very senior nun can still be placed below a junior monk in rank. Jainpedia notes that, in both major sects, a monk is always senior to a nun, regardless of seniority or office. ( jainpedia.org)

1. Yes, generally — in most traditional Jain orders, nuns do not hold the highest offices such as ācārya. Jainpedia explains that nuns usually have lower authority than male ascetics, and that their titles normally indicate a lower rank than monk leaders. It also mentions a rare and controversial exception: the nun Candanā, who was appointed ācārya in a modern context. ( jainpedia.org)

Explanation

So the short answer is: Jainism gives women an important religious place, but traditional monastic order is usually male-dominant. Nuns are highly respected for their vows and discipline, yet in many lineages they remain subordinate to monks in formal rank and leadership. Jain sources also note that women are central in the Jain fourfold community, especially among lay followers and nuns, even though monastic authority is often unequal. ( jainpedia.org)

Spiritual Understanding

In Jain Dharma, spiritual progress is tied to renunciation, discipline, and conduct, but in actual monastic organization, rank and authority are also shaped by sect, office, and gender. So the tradition values nuns deeply, while still preserving a hierarchy that often places monks above them. ( jainpedia.org)

Takeaway

Your statement is basically true for traditional Jain monastic structure, but it is better to say:

“Nuns are highly respected in Jainism, yet traditional monastic hierarchy usually places them below monks, and highest offices are generally held by monks.” ( jainpedia.org)