"Avuncular" describes a kind of paternal or uncle-like affection and authority, often associated with older men. There isn't a common word that specifically conveys the same warmth and authority but in a way associated with women.
Alternatives:
* Maternal: This emphasizes a motherly or nurturing quality, which can be similar to avuncular but not identical.
* Protective: This highlights a sense of care and guardianship, though it may not carry the same warmth.
* Wise: This focuses on the wisdom aspect of avuncular, but can be used for both genders.
Gender-Neutral:
* Mentoring: This emphasizes guidance and support, and applies to both genders.
* Kind: This is a simple but effective alternative, focusing on the positive nature of the relationship.
* Warm: This emphasizes the affectionate and welcoming aspect of avuncular.
The best word choice will depend on the specific context and the nuances you want to convey.