That looks like if you cut it the tree and small piece of earth it's on would stay up and the rest of the hill would just drop...like when the coyote corners the road runner at the edge of a cliff.
I'd climb it......can't be much worse that those trees hanging out over the stream at your place, Backwoods Savage!
Looks like a job for a well thrown piece of dynamite.....make something go Boom, watch it fall, and cut it up on the flat ground. Even if it fails, you can make something go Boom- and that's reward enough!
Honestly, I'd just let nature run its course. Poor thing couldn't have found a much worse spot trying to make a living......