... they don't fight battles on paper. :p

Caddy is significantly more powerful than Moiraine, has much more experience, and has a wealth of ter'angreal which give her who knows what extra advantages. She's tough, and she's a fighter. RJ made it pretty clear that her reputation is well deserved.

Moiraine, on the other hand, seems to have that undefinable characteristic of heroes that lets them come out on top no matter how outmatched they are.

I'd say if the Moiraine of EOTW through TSR fought Caddy, she'd lose, but I suspect the post-Rhuidean Moiraine would present a far greater challenge. We can only speculate on what post-ToM Moiraine's situation will be, but assuming she hasn't lost her channeling ability or been in any other way altered, she's probably taken yet another level of badass.

But with no other parameters to judge with, I'm going to have to stick with the safe bet. Cadsuane wins.