We don't say the Name. That's reserved for the holiest man on earth, the High Priest, for the holiest day of the year, Yom Kippor (Day of Atonement), in the holiest place on earth, the Holy of Holies in the Temple in Jerusalem.
Keeping G-d's name any more holier than that just isn't possible.
And since there is no Temple yet, no one says the Name.
Yeshua himself didn't use the name either when reading from the Isaiah scroll about himself even. He used a circumlocution - Kurios in the greek, but most likely Adonai if he was reading the Hebrew in the synagogue.