By definition, globus hystericus is never dangerous and will not cause respiratory difficulties. However, globus hystericus is only one possible diagnosis associated with the sensation of a foreign body in the thoat. Although I am sure your doctor was able to exclude other potential diagnoses, e.g actual foreign body impaction, space occupying lesion (e.g. abscess), tracheal stenosis (associated with various rare systemic diseases such as tuberculosis and sarcoidosis) and neurological diseases, these diseases entail a very real risk of respiratory distress. However, given your history of anxiety, combined with your absense of other symptoms such as fever, and most importantly the fact that you doctor has examined you, make any such diagnoses unlikely. So, although I can safely say that globus hystericus, by definition, is a psychiatric concern and does not entail risk for organic disease, I am hesitant to say that you definitely will never have respiratory distress, because other diseases remain remote possibilties.
Hope this helps!