What about the Orthodox?

"The Church" is really an anachronism. You are speaking of the Roman church which is about only half of Christianity at the time: Western Europe.

What about the other half of the Church? Eastern Europe, Russia, Asian, Norther Africa, the Middle East, Greece?

How did they receive Galileo?

I've always been fascinated by this total amnesia over the Orthodox Church as if it didn't exist or was only a few percent.