dha,
Well, if you arm and shirt took most of the blow.

If your bow is a Mathews, you are probably alright with the axles.
Mathews axles are extremely difficult to bend even with a dry fire because they're so short.
If your bow is a PSE, they have long axles which are prone to bending.
Have a friend you trust draw your bow for you and stand behind him.
Watch both top and bottom cams and see that they rotate in a straight line when the bow is drawn.
Watch from each side to see that they don't wobble on the draw.
Does the bow still feel as smooth on the draw for you also ?
If all this checks out, you're probably alright.
Most shop charge around $30.00 to $45.00 to check a bow out after a dry fire from my experience.
Axles are fairly inexpensive if they need replacing.
Most shops have the bow fixed under warranty from the Manufacturer without telling them the bow was dry fired.
Not really honest, I know, but it happens all the time.
Good luck with your bow!
Sag.