If the task is really that quick and simple, ask your boss if he'll shift the responsibility for that task from lazycakes to you. Make very clear that you need this to happen because you can't do your job under the present conditions. In order to get boss to take you seriously, I would ask to schedule a meeting where you make this proposal rather than asking on the fly.
Edit: To clarify, boss must give you all the support you need (clearance, etc.) to make it feasible for you to add this task to your present workload. But having the ability to do it yourself in a timely and correct way--even though it may feel like it's rewarding lazycakes--will probably save you stress and long days. I hope so, anyway.