A few lines later, McGonagall states it even more explicitly:
»Das wäre eine schöne Bescherung, wenn ausgerechnet an dem Tag, da Du-weißt-schon-wer endlich verschwindet, die Muggel alles über uns herausfinden würden.«
(rough back-translation):
“That would be a big mess, if the muggles found out all about us, right on the same day when You-Know-Who finally disappeared.”
Thanks! (The translation is fine, btw.)
A few lines later, McGonagall states it even more explicitly:
(rough back-translation):