Lest anyone think that we are beating around the bush. Confusion is caused because English has one word for intense love and admiration (worship) while within the concept of worship in theology there are three distinct levels and kinds all encompassed by the single word “worship.”
Worship: Intense love or admiration.
Catholics are called to show and have intense love and admiration (worship) for God, Mary and the Saints.
However, our “worship” is not equal. We are to hold Saints in dulia love and admiration, hyperdulia love and admiration for Mary, and latria exclusively for God.
And, while this is not an excuse, it is an explanation for some of the problems with our separated brethren in this area. Non-Catholic Christians don’t regularly utilize the concepts of dulia and hyperdulia when they use the word worship while Catholics understand that the the use of the word worship followed by Saints, Mary or God has a different meaning and context.
Catholics have tried to bridge the semantic confusion with our separated brethren by using the word venerate when talking about the Saints and Mary. However, this in some ways creates its own semantic problem. Venerate means to revere and diminishes the idea of the love we have for the Saints and Mary.
For clarity for non-Catholic Christians, I’d like to use the analogy of my love for my mother-in-law. It is not a distraction or detraction to my love of my wife but enhances and reflects my profound love of my wife. So it is with those Saints and Mary already in the presence of God.
Greek doulia; Lat. servitus), a theological term signifying the honour paid to the saints, while latria means worship given to God alone, and hyperdulia the veneration offered to the Blessed Virgin Mary. St. Augustine (De Civ. Dei, X, ii, 1) distinguishes two kinds of servitus: “one which is due to men . . . which in Greek is called dulia; the other, latria, which is the service pertaining to the worship of God”. St. Thomas (II-II:103:3) bases the distinction on the difference between God’s supreme dominion and that which one man may exercise over another.
Catholic theologians insist that the difference is one of kind and not merely of degree; dulia and latria being as far apart as are the creature and the Creator. newadvent.org/cathen/05188b.htm
Noting the bolded above, the difference between our worship of the Saints or Mary is as infinite as the difference between us lowly humans and God Himself.