Did you try the NoStemmer setting?
Or, maybe I misunderstood you: Do you mean that you want to use a specific keyword that you purposely put into some documents, but because the keyword you use is quite common Kea picks it up from more documents than needed? This doesn't sound like the intended use for Kea. I think you are better off using something more specific, e.g. "onetimedocument" and then simply check if the text contains that specific keyword.
Sorry I'm a bit confused about what's happening here.