The word thr author is looking for, is "Mariolatry." "Latria" is adoration.
The Catholic Church does not offer Mary "Latria" (LINK)
We give her "Hypedulia", which means, the highest honor given to a human person, which is entirely due to what God her Savior has done for Mary, a lowly handmaid.
Luke 1 should pretty much clear that up.
Rather then being clear, this fine defining line is contrary to what Scripture does to define worship, in which no one but idolators, as said, would be found kneeling before a statue and praising the entity it represented in the unseen world with adulation, attributes, glory and titles never given in Scripture to created beings, including having the uniquely Divine power glory to hear and respond to virtually infinite numbers of prayers addressed to them, and beseeching such for Heavenly help, and making offerings to them.
Let's see if that's true or not. We find the Greek word "Latria" here:
Romans 12:1 I beseech you therefore, brethren, by the mercies of God, that ye present your bodies a living sacrifice, holy, acceptable unto God, which is your reasonable service (latreia).
Greek - latreia - Definition: service rendered to God [http://biblehub.com/greek/2999.htm]
Now let's see if that "service" is rendered to Mary by Catholics.
O Mother of God, Immaculate Mary, to thee do I dedicate my body and soul, all my prayers and deeds, my joys and sufferings, all that I am an all that I have. With a joyful heart I surrender myself to thy love. To thee will I devote my services of my own free will for the salvation of mankind, and for the help of the Holy Church whose Mother thou art.
From now on my only desire is to do all things with thee, through thee, and for thee. I know I can accomplish nothing by my own strength, whereas thou can do everything that is the will of thy Son, Our Lord Jesus Christ. Thou are always victorious. Grant, therefore, O Helper of the Faithful, that my family, my parish, and my country might become in truth the Kingdom where thou reignest in the glorious presence God the Father, God the Son, and God the Holy Spirit, forever and ever. Amen. [http://www.marypages.com/PrayerstoMary.htm]
Well, well, well! Devoting their service (latreia) to Mary!
>>We give her "Hypedulia"<<
Catholics do indeed give her "hyperdulia". But let's look to see where that "hyperdulia" actually belongs.
First let's look where that word "dulia" comes from.
Greek - doulos - properly, someone who belongs to another; a bond-slave, without any ownership rights of their own [http://biblehub.com/greek/1401.htm]
1 Corinthians 7:22 For he that is called in the Lord, being a servant, is the Lord's freeman: likewise also he that is called, being free, is Christ's servant (doulos).
Hyperdulia - Etymology - Medieval Latin hyperdūlīa, from hyper-, from Ancient Greek ὑπέρ (hupér, above) + dulia, from Ancient Greek δουλεία (douleía, slavery), from δοῦλος (doûlos, slave). [http://en.wiktionary.org/wiki/hyperdulia]
Catholics give servitude or enslavement to Mary higher than or above what Paul gave to Christ. Words mean things.