Although doing stomach-crunches and playing volleyball are probably out, even after a 21st Century c-section, with sufficient painkillers and sufficient motivation, a woman could almost certainly be able to do all of the things seen in the film, specifically running, crouching and yelling. Obviously she'd then suffer the consequences in the long-term (post-op trauma, bruising, permanent muscle damage). Taking into account any medical advances over the next 200+ years, I think we can be reasonably sure that her actions were medically ill-advised but not actually impossible.
The earlier version of the script indicates that her injuries (and subsequent recovery) are nothing short of miraculous. Under the circumstances, the fact that she's not dead should be the major concern rather than her ability to sprint :-)
In the pod, scanning beams and sensors probe Watts’s horrific wound. A
nightmare list scrolls across the pod’s screen:
COLLAPSED LEFT LUNG
PUNCTURED RIGHT VENTRICLE
GROSS MUSCULAR TRAUMA...
Manipulators plunge lines into her veins - recharging her body with
artificial blood. An oxygen tube slips down her throat. An epidural
into her spine.