Why is my throat tight but no breathing problems or swallowing problem and what should i do?

Throat tight: In your case throat tightness is most likely caused by muscular tension perhaps related to stress. If you feel that this doesn't pertain to you, have a throat examination by your physician or an Otolaryngologist to rule out anatomic causes of your symptom.

See Doctor : Throat tightness could be something serious like an allergic reaction. This needs to be evaluated by a physician in person if this newer sudden onset then seek immediate medical attention