Your teacher said that British English is closer to Latin than it is to American English? That's just ridiculously wrong. Is it possible that you misunderstood?
Now if your teacher said that British English is closer to Latin than American English is, I suppose that's possible -- I have no opinion on that.
Let me give you an example. A sentence in Latin: Equo ne credite, Teucri! Quidquid id est, timeo Danaos et dona ferentis. Translated into British English: Do not trust the horse, Trojans! Whatever it is, I fear the Greeks, even those bearing gifts. Translated into American English: Do not trust the horse, Trojans! Whatever it is, I fear the Greeks, even th