When a cat is angry, it will growl and lower its body to the ground in an aggressive posture. In this situation, it is best for the owner not to touch the cat to avoid being attacked. 
When a cat is frightened or threatened, it will growl as a warning. It will also become particularly sensitive and will immediately hide or even attack at the slightest noise.
When a cat growls, it's best to give it time to calm down and not touch it. Otherwise, it may trigger a stress response.