My Mom Has Been To The Doctor And Has Had
Possible diagnoses explained.
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I read carefully your question and I understand your concern.
What you are describing seems like your mother might have a tonsilar stone. They develop by foods accumulating in the folds of the tonsil. They cause a sore throat and bad smell from the mouth. But if that is the case, then the white stone would be visible, or palpable. In general, it will fall away after doing gargles with salt for some days.
Since you can check and examine your mother you can tell better then me if that is the case with your mother.
If not, then another option that can be is postnasal drip. This applies if she has a runny nose or a blocked nose. What happens then is that especially during the night, the secretions fall from the back of the nose to the throat, irritate it and cause inflammation and ache.
If this doesn't apply too, then an exam with the specific focus on that lump would be needed by an ENT specialist. It can be a lymph node, it can be a bone structure or it can be a tumor. Only further examination and tests can tell which is the diagnoses and then give the proper treatment.
Hope this is helpful and I have answered your question.
Let me know if I can assist you further.