We took it to the beach and held it until the fisherman had worked the hook free of its beak.
(Thankfully for all parties, the turtle had not swallowed the hook, which would have resulted in some risky surgery for the turtle).
We admired the turtle for a moment, and took some photos, and then returned it to its watery home. It swam off without any noticeable problems. (Hooray!)
After its release, we determined that it was a young loggerhead turtle, the most common sea turtle variety (though still endangered) in Alabama.