That's sure one for the books. I do wildlife rescue for the state wildlife agency and I'm not sure how I would have approached that rescue. Maybe climb the tree, tie off the branch and then cut the branch to let the bird fall into the tree trunk where I could catch it. But shooting with a .22? I don't know....
I've captured and rescued dozens of raptors including Bald and Golden Eagles, but none in a situation like that. (I wonder how it got tangled in the rope?) Good show, glad it turned out well!