Can you get a chain around it, and get enough length to hook to a tractor or loader on solid ground where they can get a firm purchase?
I totally agree on removing it right away. Before it sinks into the sediment, and vegetation begins to grow on it, making it a lot harder to pull out.
Is it a shallow slope where it fell, or is there a ledge the tree has to come up and over first? Maybe cut some smaller logs to use as rollers?