What they do not have is a liturgical role, though I suspect that is just the way the tradition developed after the fall of Constantinople. Now deaconesses work in monasteries, hospitals and some rural areas where there are no priests. Earlier, say when +John Chrysostomos was Patriarch, there were hundreds of female deacons in The City alone and they did have a liturgical role, or so some of the records seem to indicate.
Which is exactly the reason for all the clamor from the Catholic progressives.
Call us when the Orthodox put vestments on women and invite them into the sanctuary.