The speaker keeps demanding rain, but only so they can complain about it. Each "Bring on the rain" opens a new small grievance: hating the weather, wishing it would stop, worrying about everything it prevents. There's a funny moment where the speaker gets furious at people who grumble about getting wet, then ends up doing the same thing. It's a joke about how easily we become the thing we're irritated by.
Underneath the humor, the poem hints at a tired, overworked person. Staring out the office window, wishing to be at home, surrounded by paperwork and people "screaming my name," the speaker seems to use the rain as a welcome excuse to feel something, or to escape for a moment. The mood is sarcastic, weary, and a little self-mocking. The final line, "So I can wish you hadnt," lands as a quiet punchline: the speaker gets what they asked for and immediately regrets it, which suggests the real frustration may be bigger than the weather.