"Secondly, a woman singing in public would have been a cause of grave scandal, as she would be a distraction & possible occasion of sin for the eyes. This is also why a woman was to cover her hair/head in church - humility....and that her glory (her hair) not be a distraction. "
Not to go off topic completely, but I want to add that St. Charles Borromeo demanded that his priests(he was archibishop of Milan and a major architect of the Counter-Reformation)be clean shaven -- for similar reasons. These days, we are obliged to look at all sorts of weird facial fur-growth at the altar -- and I don't just mean the mustached sisters. Satanic Van Dyke whiskers may be popular among pro baseball players -- but on priests, they are just nasty and to my mind signify a deeply inappropriate devotion to grooming in order to stand out, not blend in.
St. Charles Borromeo may well have had one thing in mind when he made the prohibition against facial hair: VANITY.
Indeed, a priest who grows facial hair - and I have yet to meet one who was not meticulously groomed - do spend an inordinate amount of time grooming themselves.
The same might be said to apply to haircuts. I see all too many priests who obviously spend much more money on a haircut then I do. This is that same problem: vanity.
Similar with the abandonment of the habit - for preists and religious.
One rarely sees a priest in a cassock - anywhere - much less on the street. On the day of his ordination he was set apart from all other men. Even if he does not take a vow of poverty, he should be not caught up in maintaining his personal appearance.
He exists to help souls find the way to salvation - not to find Brooks Brothers! The habit has a very good reason: humility, sublimation of the self.
Universal vows of poverty for all clergy would be far better - of material sufficiency. They may have only what they truly need for care of body, and the performance of their duties. They should only own something if it is necessary - and not of harm to their souls.
But as Our Lady said at LaSallette - the clergy have become lax, prideful, and seek only after riches and honors. And that was nearly 150 years ago!