[te lucis]

An extraordinary minister of Holy Communion is not a "minister of the Eucharist."

I'm interested in the circumstances whereby a layman distributes Communion at a Traditional Latin Mass. Perhaps you could address that, and then explain the difference between an "extraordinary minister of Holy Communion" and a "minister of the Eucharist."

[Romulus]

Perhaps you could address that

Address what? Are you implying that it's forbidden?

then explain the difference between an "extraordinary minister of Holy Communion" and a "minister of the Eucharist."

Easy. "Eucharist" means thanksgiving, and in the liturgical sense implies the sacrificial totality of what happens at the altar. A "minister of the Eucharist" is a priest. Only a priest can offer the sacrifice or confect the Sacrament. A "minister of Holy Communion" is merely one who assists in the distribution of the Blessed Sacrament -- something that can happen even outside of Mass, as you know.