Your fingers always seem fat when you start out on the guitar.
I'm 6'3 and 300 pounds, and my hands look like bear's paws. When my students go "I can't play the A chord, my hands are too big" I just show them mine, it usually works...
Also, there's the other way "my fingers are too short" noooo... Lots of virtuosos have shorter than average fingers, and they play great, now go back to work, no excuse.... ;)