She's actually giving you a direct answer, if you know how to listen (and most professors don't actually know how to go down the museum/library branch).
If you have *no* languages other than English as a college junior, I am very sorry to say that the ship has sailed when it comes to pursuing graduate level work in ancient history. Any program willing to take you would be doing so solely to exploit you. Even the most mediocre programs would want 2 ancient and 1 modern language when you apply. Heck, without some language skills, you haven't really been doing ancient history, regardless of what it says on the diploma. And even if you do take some post-bacc coursework as suggested above, you're still going to be massively behind any of your competition for a spot at a decent program. When there's only 2-4 jobs posted each year in the field, you can't afford not to go to a decent program.
This is not a course you can successfully follow.