It's a
common reaction......not sure I'd use the word 'normal' though.
If you are worried take her back or ring the Dr./nurse for advice. I am pretty sure that the nurses are supposed to go over them with you, including the sorts of reactions you might expect, so you can give informed consent.....not that I have ever found that to be the case when I have taken mine.

Actually I lie, one did give me a leaflet once with the vaccines given and some of the possible reactions.