Supposing your stamp looks like the attached photo: There is nothing rare about such a stamp. If yours is unused it's worth 22 cents. If it is used maybe 5 cents.
(There are two other U.S. stamps with Audubon as a subject, but neither of them say "John J. Audubon" exactly.
The green, 1-cent one retails at 30 cents unused, 25 cents used.
The multi-colored, 20-cent one with jays retails at $2 unused, 20 cents used.)
If you decide to sell, you are unlikely to get as much as retail, if you can find a buyer at all.