Trusted Execution Technology basically means there are ways to prevent your CPU from running programs that some people don't want to run.
e.g. in a very oversimplified example, if I were an adult and I didn't want my kids playing video games, I can tell the computer through a special program to not let the computer run them. In the real world, instead of video games, TET could stop something like a virus/hack that would execute, or run, a program that would steal the credit card number of all my customers.