No. This is not normal and should be looked by your physician. There is a significant chance that it can be a mild grade infection traveling in the facial (tissue plane between skin subcutaneous tissue and muscles) planes. Even a blood tricking down to distance up to wrist will need an attention of a doctor. You may need a course of antibiotics. Meanwhile take Ibuprofen (Motrin), if you are not already taking it, which acts as an anti-inflammatory agent.
Please feel free for your follow up questions.
This is not worrying or serious issue, though, I must say. It only needs attention and may be a precautionary course of antibiotic, to be on the safer side.
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