It is very dangerous for cats to get a fish bone stuck in their throat, as it usually won't heal on its own. If it's stuck in the mouth or the front of the throat, you can take it to a professional veterinary hospital to have it removed. If it's stuck in the esophagus and shows no signs of moving into the stomach, surgery is necessary immediately. Furthermore, if the fish bone is large, hard, and sharp, even if it manages to enter the stomach, there are potential risks, such as blocking or rupturing the intestines. 
How to handle a cat with a thorn stuck in its throat:
1. If it's not stuck very firmly, it may dislodge during swallowing or eating. If it dissolves and is digested smoothly in the stomach, there's no problem, especially with small fish bones.
2. Some fish bones cannot be removed in outpatient clinics, such as foreign objects located deep in the hypopharynx. Fish bones in the hypopharynx need to be removed under laryngoscopy.
3. If a fishbone slips into the esophagus and gets stuck, an esophagoscopy or gastroscopy is needed to remove it.