This matter has been defined irrevocably by John Paul II: the ordination of women is not compatible with scripture and long-standing Church teachings. Women cannot be ordained. The matter is no longer open for debate in the sense that it will ever happen.
Greeley is a goofy old radical with many axes to grind. His time about up, he occasionally grouses about something so he can pretend still to be relevant.
I wouldn't put too much credence into any of his opinions.
Don't worry, I just read him for laughs.
If one views this column through conservative orthodox Catholic lenses, its a welcome change. Greeley is bemoaning the passing of his liberal, dissenting and infecund generations' philosophy of life and faith. That's great news for us.