We do, and She is.
We pray that she will intercede with Her Son to grant our petition. No suggestion that She is God.
You said you only worship God, yet you pray to Mary, which is itself act of worship that should only be directed to God Himself (1Tim.2:5)
Intercessor: "For there is one God, and one mediator (intercessor) between God and men, the man Christ Jesus (1 Timothy 2:5)."
Actually this is not true. Pope JP2 encouraged the belief that Mary is the Holy Spirit, thus justifying her worship. Your next pope will bring this teaching fully in
"St. Francis Borgia had great doubts about the salvation of those that have not a special devotion to Mary; because, according to St. Antonine, he who expects graces from God without the intercession of Mary attempts to fly without wings. St. Anselm has gone so far as to say: 'It is impossible to be saved if we turn away from thee, O Mary.' St. Bonaventure has said the same: 'He that neglects her will die in his sins.' Blessed Albertus Magnus says: 'The people that do not serve thee will perish.' And speaking of Mary, Richard of St. Laurence says: 'All those whom this ship does not receive are lost in the sea of this world.' But, on the other hand, he who is faithful in the service of Mary will be certainly saved. 'Oh Mother of God,' says St. John Damascene, 'if I put my confidence in you I shall be saved. If I am under your protection I have nothing to fear; for to be devoted to you is to have certain arms of salvation which God gives only to those whose salvation he wills in a special manner.'" St. Alphonsus De Liguori, in Dignity and Duties of the Priest, p 413-414 (published by the Redemptorist Fathers, copyright Very Rev. James Barron, C.SS.R., 1927, bearing the Nihil Obstat and Imprimatur of the Catholic Church).
But, a queen implies she reigns.
She doesn't.