I agree wholeheartedly with lalimacefolle, i have small hands and thought i'd never hold a full bar(re) chord -I did,I do,I will :). The hands take time to adapt and stretch into shape on the guitar, persevere.
BTW although you dont need an amp, learning on an acoustic can be moy painful for beginners as the strings are heavier and the neck usually thicker than electrics.
Hang on in there.:)
Accuracy,you say? hmm interesting concept..