You’re a liar when you say Catholics worship Mary.
Notion and characteristics
The word worship (Saxon weorthscipe, “honour”; from worth, meaning “value”, “dignity”, “price”, and the termination, ship; Latin cultus) in its most general sense is homage paid to a person or a thing. In this sense we may speak of hero-worship, worship of the emperor, of demons, of the angels, even of relics, and especially of the Cross. This article will deal with Christian worship according to the following definition: homage paid to God, to Jesus Christ, to His saints, to the beings or even to the objects which have a special relation to God.
There are several degrees of this worship:
Code:
* if it is addressed directly to God, it is superior, absolute, supreme worship, or worship of adoration, or, according to the consecrated theological term, a worship of latria. This sovereign worship is due to God alone; addressed to a creature it would become idolatry.
* When worship is addressed only indirectly to God, that is, when its object is the veneration of martyrs, of angels, or of saints, it is a subordinate worship dependent on the first, and relative, in so far as it honours the creatures of God for their peculiar relations with Him; it is designated by theologians as the worship of dulia, a term denoting servitude, and implying, when used to signify our worship of distinguished servants of God, that their service to Him is their title to our veneration (cf. Chollet, loc. cit., col. 2407, and Bouquillon, Tractatus de virtute religionis, I, Bruges, 1880, 22 sq.).
* As the Blessed Virgin has a separate and absolutely supereminent rank among the saints, the worship paid to her is called hyperdulia (for the meaning and history of these terms see Suicer, Thesaurus ecclesiasticus, 1728).
In accordance with these principles it will readily be understood that a certain worship may be offered even to inanimate objects, such as the relics of a martyr, the Cross of Christ, the Crown of Thorns, or even the statue or picture of a saint. There is here no confusion or danger of idolatry, for this worship is subordinate or dependent. The relic of the saint is venerated because of the link which unites it with the person who is adored or venerated; while the statue or picture is regarded as having a conventional relation to a person who has a right to our homage — as being a symbol which reminds us of that person (see Vacant, Diet de théol. cath., s.v. Adoration, and authors cited in bibliography; also ADORATION; IDOLATRY; IMAGES; DEVOTION TO THE BLESSED VIRGIN MARY).
newadvent.org/cathen/15710a.htm
Worship, CHRISTIAN.—NOTION AND CHARACTERISTICS.—The word worship (Saxon weorthscipe, “honor”; from worth, meaning “value”, “dignity”, “price”, and the termination, ship; Lat. cultus) in its most general sense is homage paid to a person or a thing. In this sense we may speak of hero-worship, worship of the emperor, of demons, of the angels, even of relics, and especially of the Cross. This article will deal with Christian worship according to the following definition: homage paid to God, to Jesus Christ, to His saints, to the beings or even to the objects which have a special relation to God. There are several degrees of this worship: if it is addressed directly to God, it is superior, absolute, supreme worship, or worship of adoration, or, according to the consecrated theological term, a worship of latria. This sovereign worship is due to God alone; addressed to a creature it would become idolatry. When worship is addressed only indirectly to God, that is, when its object is the veneration of martyrs, of angels, or of saints, it is a subordinate worship dependent on the first, and relative, in so far as it honors the creatures of God for their peculiar relations with Him; it is designated by theologians as the worship of dulia, a term denoting servitude, and implying, when used to signify our worship of distinguished servants of God, that their service to Him is their title to our veneration (cf. Chollet, loc. cit., col. 2407, and Bouquillon, “Tractatus de virtute religionis”, I, Bruges, 1880, 22 sq.).
As the Blessed Virgin has a separate and absolutely supereminent rank among the saints, the worship paid to her is called hyperdulia (for the meaning and history of these terms see Suicer, “Thesaurus ecclesiasticus”, 1728). In accordance with these principles it will readily be understood that a certain worship may be offered even to inanimate objects, such as the relics of a martyr, the Cross of Christ, the Crown of Thorns, or even the statue or picture of a saint. There is here no confusion or danger of idolatry, for this worship is subordinate or dependent. The relic of the saint is venerated because of the link which unites it with the person who is adored or venerated; while the statue or picture is regarded as having a conventional relation to a person who has a right to our homage—as being a symbol which reminds us of that person (see Vacant, “Diet de theol. cath.”, s.v. “Adoration”, and authors cited in bibliography; also Adoration; Idolatry; Veneration of Images; Devotion to the Blessed Virgin Mary).
Interior worship is to be distinguished from exterior worship. The former is not manifested by external acts, but consists in internal adoration; but when this inner sentiment is expressed by words or actions, prostration, genuflexion, the sign of the cross, or any other gesture, it becomes exterior worship
oce.catholic.com/index.php?title=Christian_Worship
You really should apologize for calling them a liar, since in your ignorance of your own church’s teaching contradicts you own denial. So embrace the worship; after al it is only a matter of degree w/in your church.