Bleach. Soak it in a container of equal parts bleach and water for 24 hours, then rinse it well, and soak it in regular water for another 24 hours to leech out the bleach, changing the water two or three times, and then rinse it again and allow it to dry thoroughly. The branch should no longer smell like bleach; if it does, it will need more leeching. Also, check for particularly sharp points or splinters on the wood and file them back with sandpaper (only works when dry, and if you do this, you'll need to rinse it and let it dry again so the dust doesn't irritate your snakey's nose). It's a long process, but not much survives a bleach bath.