Is kt any better now? That swollen arm must be very painful. The prednisone could also be making her feel flushed in general, and a bit shaky. Depends on how it's being administered. I remember with my last reaction, I was at work but got myself home somehow after the shot, but was feverish by the time I got home. I slept most of the next day, went to work briefly the day after (I shouldn't have) and got the emergency stuff done then went home again. I was able to stick it out completely the day after that but was very grateful when the weekend came. The arm pain eased off but was still sore at the injection site for months.
If the pain doesn't ease off, or she begins to have odd symptoms of weakness or nerve pain in that arm, don't forget to mention the immunisation reaction when you see a doctor about it. The connection is rare but it does happen that occasionally you get neurological complications. In most cases, those complications are limited. The prednisone should reduce that possibility even further.
Keep us posted.
Marg