A case of a very specific trope used much more generally (even on the page itself) because the title is a Stock Phrase. Seriously, every single example on the trope page itself (except maybe the Stargate SG-1 one, as a "variant") is wrong. This may be one reason why the inbounds and such are so terrible.
What's the best solution? Expansion (but it's generally used as just "character tells or causes another to shut up — is that even a trope)? Rename? Culling? Cut?
Alice is trying to say something. Bob tries to say it for her. He fails, tries again, and again, and again, until Alice gets tired of it.
Sounds like a trope to me. Specifically, a narrow subversion of Finishing Each Other's Sentences. Could be expanded to any time Alice corrects Bob's attempt.
The Stargate SG-1 example (not being familiar with it myself) sounds more like a Stop Helping Me! than the trope definition. If that means there isn't a single salvageable example on the page itself, I'd be inclined to say cut and YKTTW.
The page image is not helping either, it only illustrates the "shut up" part, not the setup that leads to it.
I just checked the wicks. As far as I can tell, the only one that uses this trope correctly is the Trope Namer bit from Doctor Who. All the others are just generalized "character tells another to shut up."
Probably because that's something that's addressed only after it's determined that a trope is worth saving.
Personally, I'd feel a lot better about keeping it if there were, you know, any other examples besides the Trope Namer. But I guess if this doesn't end up getting cut, it'll probably be sent back to YKTTW, at the least.
I agree with the fact that the trope is too narrow and more or less useless in its current incarnation. I do think that it might be expanded upon, though, in order to be made worthwhile.
Perhaps the spirit of what it's trying to get across is when a character has something important to say, but another character keeps impeding them with interruptions? Even if the interrupting character is actively trying to learn what the other person wants to say? Which usually leads to a Big "Shut Up!"?