If everything is urgent, then nothing is. You have to redefine priorities and set new deadlines. There’s no other way to ensure quality while keeping up with the workload. Otherwise, you're just treading water.

Start with the most important and urgent tasks! This cannot be over emphasized. Focus on the important ones and get it sorted so everything doesn't suddenly require your attention at the same time.

When my day’s packed with urgent tasks, I start by identifying the 'non-negotiables' ie. the tasks that absolutely must get done. Then, I break them down into manageable steps, setting aside time in my calendar for these non-negotiables. I use a combination of the Pomodoro Technique or a method I call Catchup Sprints. By setting realistic expectations, being focused and using momentum, I’m able to work through items effectively without feeling overwhelmed. This approach also helps me decline getting involved in the unimportant interruptions.

It's important to take some time (even though you feel like you're pressed for time) to prioritize all your tasks. Do the important ones first. Break the tasks down if necessary into smaller pieces, so you can accomplish the whole task eventually even if you don't have a large chunk of time for the bigger project. It's helpful to use a project management tool or a spreadsheet to keep tracks of all your tasks, including the deadlines and milestones. Make sure you block out time on your calendar to work on these tasks.