I borrow this from Archie Goodwin. But say you are in said tree. Man eating tigers circling, beavers chewing tree. You get one TV character, one who when you see him or her, you know you are saved. Saul Panzer is busy doing Warehouse 13. sorry.
No superheroes. Must be moderately realistic. TV realistic. No Arrow, etc.
Tarzan may not qualify, so I’ll go with anyone carrying a gun. Not a bad guy with a gun though, they can’t hit anyone. Marshall Dillon maybe, or the Rifleman.
The Rat Patrol with their machine-gun jeeps. Or any single one of them, with a Tommy-Gun.
TriPolar’s suggestion of Marshall Dillon or The Rifleman is very good.
Has the great Shikari, Sebastian Moran, been a TV character?
Napoleon Solo or Illya Kuryakin, with either the U.N.C.L.E. carbine or the THRUSH rifle. Maybe the latter, 'cause Illya’s wittier to chat with later, and the rifle has a night-sight scope.
Well, since the man is eating the circling tigers, and the tree only chews beavers and not people, it sounds to me like I should be able to escape on my own.