It is metaphysically impossible for a woman to be a “Eucharistic Minister.”
Words mean things, and “Eucharist Minister” is reserved to men who have received Holy Orders.
What you are thinking of is “Extraordinary Minister of the Eucharist.”
I meant to say “Eucharistic Minister” in the second sentence there. Precision is important in these matters.
Argh. I mistyped again. “Extraordinary Minister of Holy Communion” in the last sentence. I’m going to stop now.
What you are thinking of is “Extraordinary Minister of Holy Communion.” ALL "Eucharistic ministers" are "ordinary" ones -- being all priests.
As you say, precision counts.