This is all part of our task of learning tolerance, I expect. I can identify with this because I'm the 'endearour to stay in the moment person' (as in meditation) my wife is the multi-tasker who is foreover planning ahead and never able to abide even a modicum of silence. The radio is switched on by her as soon as she gets up. If it isn't the radio, it's the television. It doesn't matter if if it's not being listened to or watched. My wife, I'm convinced, cannot abide silence.
I never tell my wife things like 'being in the Now.' I doubt she would understand. However, she does tolerate - and has done for over twenty-six years - my going into my study twice daily to meditate.
I'm of the belief that we are both learning - albeit without realizing, in most instances - certain qualities such as patience, tolerance, listening skills etc and this is how it is meant to be.
Our egos don't like this sort of analysis, of course. To our egos, it is always the other person who is the cause of our troubles, not our reactive minds and negative emotions.
I guess that once this problem no longer seems to occur (and therefore we no longer notice it) we've reached the required level of wisdom to no longer need annoyance's prompting.