I didn't notice any results like your swelling when I got a steroid injection in my hip. Of course swelling in the hip area would be hard to recognize in most women!
Swelling immediately around the injection site I would understand -- but as far away as the jaw it's probably unrelated.
The kind of puffiness commonly associated with prednisone occurs all over the body when you are taking prednisone systemically -- that is, orally or by IV. It really shouldn't come into play at all from an injection.
I would caution you on doing too much PT too soon -- the prednisone sometimes takes the pain away but you can harm yourself if you don't give the inflammation time to calm down.
Lynnwood, Lupus & Sjogren's Moderator, Dx: 2002DIAGNOSING LUPUS & HW's LUPUS 101
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