They will change and shift and confuse and destroy any ounce of progress you are trying to make.
If you have a daily scrum every morning and every morning the priorities are different and in direct conflict with the priorities from the day before then by the end of that week you will have accomplished nothing.
And neither will your team.
And if you can’t stop the changing priorities, learn to intercept them, figure out why they are happening and above all, insulate your team from them, keep them on track, keep them driving and delivering.
While everyone else is confused about who did what, when and how – your team will have been on task, only changing when there was a legitimate need to have done so.
Don’t let conflicting priorities hurt your team’s delivery.