If you can't be certain that you'll win, don't play the game. You've got too much to lose this time.
Often, the best way out is to go through the middle. It's not easy, and sometimes it's painful, but we can't expect to go through painful situations without feeling some of that pain ourselves. Avoiding difficult situations often means that we don't face the truth of them. By going through the middle, for better or worse, we move forward and we work towards getting answers to difficult questions.
A lot of workplace stress and pressure can be reduced through good communication and planning.