You're right that's it's not apples to apples.
But, you write pretty well, and I'm sure your understanding of the language is fine. My verbal skills weren't all that great either, but I found the verbal section to be very coachable. As someone who took both tests, I say very comfortably that I'd much rather sit through the GMAT again rather than the CFA.
There are ways to prepare for the verbal section of the GMAT and there of lots of resources on this site. I still think my advice is valid - Emory told you that you need a higher verbal score (per your post). If you want to get in there, take the test again. You're in a good position here; the school told you exactly what they need to see for you to gain admission. Just think about how great that would have been if a school told applicants ahead of time, "from you, we need to see x, y, and z and you're in". You know what you need to do. Figure out if you want to go there and if you do, then study and crush the test.