This is complicated, but...
SELECT * FROM MyTable WHERE INSTR('There is a cat behind door', ' ' + UName + ' ') <> 0
Will do it.
The complications are that it won;t find them at the beginning of the string, or the end, it doesn't work with punctuation, and so forth: those I leave to you!
Personally, I wouldn't try to do it in SQL: I'd use a "proper" language with better string handling and presentation abilities, like C# or even VB.