Watch the video here: Snake sets off internet frenzy
In a statement, Peta said: "If the description is accurate, the snake was tormented and suffered for the sake of ratings - as animals usually do when they're used for entertainment. Anacondas go days without eating and expend the energy needed to do so selectively. Making this snake use up energy by swallowing this fool and then possibly regurgitating him would have left the poor animal exhausted and deprived of the energy that he or she needs.
"Shame on this pseudo 'wildlife expert' for tormenting this animal, and shame on the Discovery Channel for giving him the incentive."
Peta said it had not heard back after asking the Discovery Channel to pull the show, whether it was a hoax or not.
The programme also attracted ire on social media.
"Using an animal for entertainment is wrong. @PaulRosolie should be studied and tortured like the animals he makes money off of," was a typical comment.
But Mr Rosolie responded by saying he would "never hurt a living thing" and welcomed the fact that people cared about snakes.
"Throughout history snakes have been one of the most feared and misunderstood animals on earth," he said on Twitter.
"In the last 48 hours thousands of people from all over the globe have spoken out and petitioned in defence of a snake. It is a passionate and sweeping response that is encouraging to watch."
- Independent