It’s not a Sacrament.
As far as I know, it is not part of the Liturgy.
It can be a part of private devotion.
It is usually a public devotion, especially Benediction.
So where does it fit?
Eucharistic Adoration is paying homage to Our Lord truly present in the Blessed Sacrament in a posture of love. It is prayer that enables us to personally encounter Our Lord Jesus Christ, and eventually, to bring us to a personal relationship with God.
We know that in the Sacrifice of the Mass, we have the means
par excellence of communicating regularly with God, paying Him homage, and encountering Him. How does
Eucharistic Adoration come in?
Pope Emeritus Benedict XVI explains: "
The act of adoration outside Mass prolongs and intensifies all that takes place during the liturgical celebration itself". (Sacramentum Caritatis, 66.) Thus,
Eucharistic Adoration flows naturally from the Holy Mass, and personal prayer before the Blessed Sacrament may be seen as a normal continuation of the Eucharistic Celebration.
In his Pastoral Letter of 5/18/2008, Archbishop E. Goulet writes: "
Eucharistic Adoration finds its true meaning only if it is linked to the celebration of the Eucharist and is an extension of it."
Eucharistic Adoration, then, has a personal and a community dimension. When we come before the Blessed Sacrament to pay homage to Our Lord, we come as a member of the People of God. Personal prayer before the Blessed Sacrament has an indispensable value in our spiritual life but we need to be aware that "
the personal relationship which the individual believer establishes with Jesus present in the Eucharist, constantly points beyond itself to the whole communion of the Church and nourishes a fuller sense of membership in the Body of Christ." (Sacramentum Caritatis, 68.)
Eucharistic Adoration is precious time when our Faith can truly deepen and grow!
I hope these thoughts help …