Hi mam,
The reason for your crack is not chicken bone but caries. It has destroyed your tooth leading to weak enamel and so when you bit on bone, it fractured. This x ray shows caries is deep. Unless you suffer from pain, it can be given a CaoH base and a filling.
If you have got pain, then go for RCT and crown.
Next Steps
Visit dentist confirm the pain is due to tooth or gums ( as you have hole inbetween the teeth.)
Health Tips
Mostly it might be gum pain. please save your tooth . Negligence in expensive mam