You can get one of those 6 second digital thermometers. Dog's temp should be anywhere between 99.5 to 102.5. If that is normal, then I would not be concerned with the heat in terms of fever.
Have you checked skin on those hot areas and checked in the ears? Any head shaking?
yes do a rectal temp. that is why it's imp to get those 6 sec thermometers b/c Akita's are famous for hating that!
If you have checked her head and skin and ears look good and no head shaking I would not worry too much, esp if she is eating/drinking fine. Just making sure she has no infection as this sometimes is indicated by heat and swelling.
Let me know if you have any more questions.