I have a very small shard of glass in my finger, do u think it will work its way out? my finger is swollen.?

i did go to the doctor and he did try and remove it and i think it is still in there, it is swollen and hurts real bad, the glass has been in there sence thanksgiving, the doctor tried to get it out last friday, now i have to go to get an x-ray and to another doctor, so do you think it will come out by itself?