The glands that are swollen are most likely actually called lymph nodes. They help clean "bad" things out of the blood like old blood cells, etc. It's like a filter for bad things. It is common for them to swell when there is an infection.
The antibiotic will take time to work and the swelling will gradually decrease. It just takes time.
She needs to finish the prescription and take it exactly as directed.
Hope that helps.
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