This is something the Scrum methodology is supposed to solve. It places the responsibility of prioritizing tasks at the hands of the stakeholders by making the

This is something the Scrum methodology is supposed to solve. It places the responsibility of prioritizing tasks at the hands of the stakeholders by making the tradeoffs between scheduled tasks and interruptions very explicit. If you want something more light weight look into the Pomodoro technique. People can bring issues to you but only in breaks between blocks of uninterupted work. If you go with either then you can explain away refusing to be distracted as merely following a proven methodology. This gives you an easy out as people will vent any frustration at it rather than you.