I'd just like to point something out to those discussing names: the Churches didn't have official names in this era, and there was no drive to give them names yet. What they had instead were descriptors. For example: the Catholic church. Catholic in Latin(? ...or something) means "all-encompassing", so the Catholics merely referred to their church as Catholic in that they thought that all true Christians were part of their religious community. Protestant churches still use the term "catholic" (note the little 'c') in their Nicene creeds. Similarly, Orthodox means "in line with mainstream". The Protestant church was named as such because in something like the 1530s, the City of London organised a march through the streets and invited "German protestants" (read as: German protesters") to march with them - they were protesting against the Pope, so they were called protestants. Similarly, other names you get as descriptors are either describing their origins or location. The Lutheran church wasn't called the Lutheran church, but its followers were called "Lutherans" because they imitated Luther. Similarly, Calvinism, etc. The Baptists were called so because they emphasised baptising people. And the Church of England was essentially "the church as it is in England". You aren't going to get names like "Teutonic Church" unless the members are viewed by social commentators as overwhelmingly specifically Teutons or Teutonic in style.
If a pan-German church is called anything it's likely either be named after it's founder (Zwingliist Church?) or just the generic "Church of Germany" - but even this term might be controversial as the Austrians believed themselves thoroughly German at this point, and few social commentators will be able to get away with coining a term like that and getting it into common usage without the Austrians taking offense and coining their own terms in reply...unless you follow the Lutheran Hapsburgs idea, of course.
If a pan-German church is called anything it's likely either be named after it's founder (Zwingliist Church?) or just the generic "Church of Germany" - but even this term might be controversial as the Austrians believed themselves thoroughly German at this point, and few social commentators will be able to get away with coining a term like that and getting it into common usage without the Austrians taking offense and coining their own terms in reply...unless you follow the Lutheran Hapsburgs idea, of course.