Mexico is not a culturally homogeneous nation, and its religious mosaic includes a number of Eastern Orthodox Christians. Their liturgy includes an akathist--a long hymn--honoring the Virgin, or the Theotokos (God-Bearer), as she is often referred to by Eastern Christians. Part of this is reproduced below; click here for the full text. I also include a video showing scenes from Mexican Orthodox life.
From the Akathist to Our Lady of Guadalupe
The peoples of Mesoamerica saw a most Divine Light when they gazed upon Thy sacred and miraculous image inscribed by the Finger of God upon the tilma of Juan Diego. They recognized in it their salvation at last and liberation from the darkness of enslavement to the cunning Serpent of old and they cried with grateful love amidst tears:
Rejoice, Most Immaculate Messenger from on High!
Rejoice, Great Sign that appeared in Heaven and in our midst!
Rejoice, Woman shining with the Brightness of Thy Son and our Lord!
Rejoice, Lady crushing the Serpent of old beneath thy feet!
Rejoice, Victor over evil!
Rejoice, Queen of Heaven and Earth!
Rejoice, unfailing Intercessor for those lost in darkness!
Rejoice, Star of the Sea bringing us to the harbor of safety!
Rejoice, Defender of children!
Rejoice, Protector of such as are of the Kingdom of Heaven!
Rejoice, Standing with the moon at Thy feet!
Rejoice, with hands enfolded in prayer to God on our behalf!
Rejoice, O Lady from Heaven, Virgin-Mother clothed with the Sun!