The woman reacted to the Words and actions of Christ. He was the object of the response.
That is very true. But she praised Mary nonetheless. That is exactly what a prayer to Mary is: it is seeking the company of Mary because Jesus is with her, and asking for her prayers to Jesus.
Hail Mary, full of graceAs you see, Jesus in in the center of the prayer.
The Lord is with thee
Blessed art thou among women
And blessed is the Fruit of thy womb, Jesus
Holy Mary, mother of God, pray for us sinners now and in the hour of our death