I can tell you who wisdom is in Sirach...
Wisdom shall praise her own self, and shall be honoured in God, and shall glory in the midst of her people, and shall open her mouth in the churches of the most High, and shall glorify herself in the sight of his power, and in the midst of her own people she shall be exalted, and shall be admired in the holy assembly. And in the multitude of the elect she shall have praise, and among the blessed she shall be blessed, saying: I came out of the mouth of the most High, the firstborn before all creatures: (Sirach 24:1-5)
It's a lady! Not sure if your doctrines forbid ascribing female characteristic to God, but feminine wisdom and feminine motherliness is palpable throughout the Bible. So I think in the eternal sense (aka the anagogical sense):
The anagogical sense (Greek: anagoge, "leading"). We can view realities and events in terms of their eternal significance, leading us toward our true homeland: thus the Church on earth is a sign of the heavenly Jerusalem. CCC 117
we can interpret these eternal truths in an eternal fashion.
Wisdom gives birth to great ideas and is justifiably considered a woman! Wisdom, like our mother, is our First Teacher. All these things could also be said of the Holy Spirit.
For addtional Wisdom, check out Sirach's offspring Jesus (no relation) who wrote the Book of Wisdom and for additional confusion, consider the title given to Mary "Seat of Wisdom" and the Wisdom 7:27 which says
The soul of the righteous is the seat of Wisdom.
So... Mary, seat of wisdom, Holy Tabernacle of the Lord, model of the Church etc... Models our souls as the place where Wisdom resides.