As I may have mentioned above, music from different places and times can follow different sets of rules.

This particular piece is roughly from the Tudor period, before classical music theory had evolved, and doesn't always follow the "classical" rules.

The G#, rather than defining the piece as being in E major, indicates a "Tierce de Picardie"
which is a major chord that occurs at the end of a minor or modal phrase, where you'd expect it to resolve to a minor triad.