User blog comment:San&Ashitaka/Chapter 52 Predictions/Expectations/@comment-13234254-20131130181953/@comment-114.39.238.182-20131204122858

The fight between the female titan and eren already proves Annie as a more capable fighter. Oh and you do realize  that Annie taught Eren before their graduation not after. And during Mikasa and Annie's fight (flashback) even Eren hesitated to decide to chose who'd win which means their difference in their abilities is not significant.