If you have recovered from your surgery and are feeling well, then having an ostomy should not prevent you from participating in activities that you previously enjoyed. Most exercises and/or returning to work, is recommended, unless otherwise advised by your doctor.
It is important to protect your stoma from injury that may come from every day activities, or your work. Stoma Guards can help to protect your stoma from clothing, car seat belts, and/or impact (e.g. sports).
Other options to consider might be a Stealth Belt. Steal Belts may offer concealment and support for the pouch, and may be a choice for the active person.