Extraction of wisdom tooth will definitely solve your problem of food getting stuck and pain.To determine damage to adjacent tooth you will need to get xray done and get checkup done by dentist. Xray will also help determine position of wisdom tooth.More you wait for treatment more damage will b done to adjacent teeth.
Next Steps
Visit dentist for X-ray and check up as soon as possible.
Health Tips
Gargle forcefully with water after taking any food or beverage to keep that space clean till you get treatment done