They all have the letter T. Looks like I'm supposed to make a longer answer, according to the notice I received. So, what shall I say: Shout has a T at the end; sate has a T second to last letter; Stew's second letter is a T; first letter of the word Thorn is a T.
When I tried this riddle out on some folks in my physical world, your answer was the first thing they observed too. Good job! It's accurate, even though not covering the whole story. Thanks for your response.