" The Eastern Catholic Churches allow for married priests but under scrupulous assessment."
Absolutely...and this cannot be stressed enough, once one is ordained, one may not contract a marriage. In other words, save in a very few rare instances, you marry before you are ordained to the diaconite or you don't marry at all.
"Even the Eastern churches encourage a celibate priesthood."
Celibacy is considered the highest calling. All Orthodox celibates are monastics. If they are priests, they are called priest/monks.
I trust we will never see the day, and I don't think we will, when the Eastern Church allows formerly celibate priests to marry.
Do you think in Greece the Eastern Church will restore the role of deaconesses like St. Olympia? I thought I had read something about that or perhaps it was a restoring of a kind of order of widows.