The poem is only three short lines, but it holds a whole tense morning. The first line tells us there has been an "all-morning dispute," so we walk in after hours of quarrelling. We don't learn who is arguing or what about, and that vagueness makes the fight feel tired and unresolved, the kind that has gone on too long to have a clear point anymore.
Then the speaker turns to something small: breaking off half a cake and poking at it. The word "distraction" in the title fits. The speaker isn't really hungry, and "poke at" suggests restless, aimless fiddling rather than eating. It's a way to give the hands something to do when the mind is worn out or when words have run dry.
The mood is weary, awkward, and quietly funny. The poem stops mid-gesture, with no resolution, so the quarrel and the speaker's avoidance both hang in the air. Judging by the poem, the speaker would rather pick at crumbs than keep fighting.