Can antibiotics cause an allergic reaction?

Dear Doctor, My 2-year-old daughter was recently diagnosed with tonsillitis and was given antibiotics. However, I noticed a harsh rash on her arms and hands about a week ago, and was told that it is an allergic reaction to the medication and that it will go away. Is this normal? The rash (small blister-like swellings) doesn’t seem to itch but it looks bad. Should I stop giving her the medication? I’m worried.
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Dr. Rachna Pande