I was going to go with "protrude" but I'm getting told it is not used in this sense and it wouldn't be understood.
It's to describe the situation where the TV is on but you are doing something else and not paying attention, so the sound is like a white noise to you. Then there is something important being said and you realize that suddenly you're hearing what's being said too, even though you didn't consciously make an effort to start listening. So the sensation is as if the sound emerged out of the white noise.
Best alternative I found is "suddenly becomes prominent", which I don't really like. Is there any other way to describe this?
Best Answer
It suddenly intruded upon my attention.
From the Journal of the Acoustical Society of America, courtesy Phil Sweet:
I think part of what is confusing is the use of in a comment.
stick out (intr) 2 word verb
Cambridge online
That is pretty much idiomatic. What is actually happening is that the sound is sticking into your brain, and so intruding.
Intrude