Everywhere I go in Catholic Churches, I see women lectors, altar girls and Extraordinary Ministers of Holy Communion, often in situations where there are enough clergy to do the job.
In my little parish, however, the only time I publicly read anything was during an Advent Lessons and Carols service. Women and girls are not in the sanctuary during Mass. I prefer it that way.
First, only men are instituted, “official” lectors. Women can only substitute for them in their absence. Thus, they are an permitted exception to the rule.
Second, the very idea of women entering the sanctuary to perform a liturgical role is a historical oddity.
Third, we need a deeper understanding of “active participation”.
Fourth, because the lectorate has always been a step to Holy Orders, women reading in the sanctuary can be seen by some as a step to the ordination of women to the priesthood.
I know some women lectors who proclaim the words of Scripture beautifully, with meaning and grace. I also know women who act as EMHCs who are wonderful Catholics but are not sticklers for traditional liturgy.
What is the practice in other Ordinariate parishes?