This question was pinned as a potential duplicate of How can I ask someone in a quiet library to stop clearing their throat?, and it is true that it may be one if OP does not know said coworker very well. The thing is, we don't know how close OP is to their coworker; whether they work together or have in the past, whether they talk about personal stuff, and so on. I believe that there is not enough information to provide complete answers to this question.
Now to the issue. This question hit HNQ this morning, and incomplete answers, addressing an incomplete question, continue to come. I'm bothered by the fact that it's HNQ because 1- it leads to poor quality answers that need to be handled by the community and the mods and most importantly 2- it gives a biased idea of what IPS is about to SE users. This can't be good.
I wondered what to do with this question; OP didn't address the clarification questions, the community didn't vote to close as a duplicate or because it's too broad. I don't want to single-handedly close it until OP addresses the questions, especially because we had a question hitting HNQ a few weeks ago that also got closed (and again, I don't think it gives a good image of what IPS actually is about. When our only HNQ question is closed, what does it say about the site?).
Which leads us to the last option. Removing the question from HNQ. This is something mods can do when a question is not a good fit for HNQ. It's usually used when a controversial question leads to heated conversations or a significant number of very poor quality answers- yet our example does not fit into either of these categories.
Which is why I wanted your advice. What do you think we should do with incomplete questions hitting HNQ? Should we close them more quickly? Should mods remove them from HNQ, knowing that it won't be eligible for a further selection? Should we be more reactive when it comes to handling such questions, i.e. faster in asking for clarifications, faster in casting close votes, faster in helping OP to improve their question?