That is highly irresponsible. Tegus are not native to Florida and are considered invasive. Florida Parks and Wildlife destroys any Tegus that are captured in an effort to control them. They negatively impact populations of native and endangered wildlife. If you're trapping Tegus you need to be contacting the proper authorities to have them destroyed.
https://myfwc.com/wildlifehabitats/profiles/reptiles/argentine-black-and-white-tegu/
https://crocdoc.ifas.ufl.edu/projects/Argentineblackandwhitetegus/
Last year I relocated the first three rat snakes (in as many weeks) that I caught in the hen house eating eggs. After that I gave up. I killed over 18 rat snakes last year, sometimes more than one in a single day/night. I went months without getting any eggs ( I had a very small flock). When I brought in some new pullets about 3.5 months of age, the snakes killed all but one in a few days in the same manner the poult in the OP died. This year I've only killed three.
That being said, I keep the grass mowed very short throughout the entire yard. I minimize plantings/flower beds, standing water, etc, to minimize the attractiveness of the environment and dissuade them from hanging out.