I see a nice Quarter Pony with a lovely smooth coupling, a low-set neck (good for stock types), slightly downhill which is pretty typical for stock breeds. Good forelegs, though possibly a little bit tied in behind the knee (smaller leg circumference just below the knee than just above the fetlock). I like her hind legs, they aren't quite ideal through the hocks but they're pretty good. I like her pastern angles, and I like the shape of her neck, though it is quite thick (might be due to her weight).
I don't like her shoulder, it's too upright for my taste, and I'm not much a fan of her head shape or size. And her ears are enormous!
Overall she's a nice little stock type :) not for me, because I ride jumpers and stock breeds aren't built to jump, but if you want to do any of the Western disciplines, or work stock in any capacity, she'd do it acceptably well.
If she's muzzled and still not losing weight, you could up her workload without hurting her at all :) I had a pony that was on very minimal grazing, in a dirt yard at night and only turned out during the day (muzzled), with only a handful of bucket feed to bind his suppliments and hay with very low nutrient content fed in a slow feeder... he was working 2hrs a day 6 days/week and STILL overweight! The majority of ponies could work hard 6hrs/day 7 days a week and suffer no ill effects except perhaps getting a tad sour (ponies are LAZY!) and I'm going to assume you don't have time for that, you look like you're in school :)