Welcome in H.C.M.
I have gone through your query regarding feeling of some thing obstructing in food passage though you are taking your solid food easily. you are giving history of swallowing of gum yesterday night and you feel as it is still sticking in throat.
I hope chances of sticking of gum is rare but one can't ignore this and I suggest you to go for Direct Laryngoscopy
of your throat to find out the obstructing object if any and in this test simultaneously obstructing object can be remove also.
Other possibility in your case is of GERD
. this can be managed by taking omeprazole