Is it okay to play sports with a torn tendon?

Depends: Which tendon it is and what's affected. More information needed. Ask your doctor to verify that it is a torn tendon and not a sprain. Remember, wounds need time to heal and whether it is a torn tendon or a laceration - takes time.

Depends: Which tendon and can it be protected during play in the sport?

Tendon rupture: depending on the location can prevent you from playing. It would also depend on the sport and maybe even the position you play. Need more information in order to fully answer your question.