And this is true for reasons I didn't understand when I was soley technical and younger.
At the end of the day people - _teams_ - want people they can trust in. That doesn't mean you handle things flawlessly, or that your boss can necessarily "set it and forget it" with you. Being trustworthy and responsible means acting out of good intent. Take a breath, keep your head on straight, look at the slightly bigger picture, and make reasonable choices. Communicate. Act as if the world isn't on your shoulders - because it isn't.
Take a step back, realize that we're all people, trying to make good decisions, and we're responsible to work with the outcomes and address problems as they arise.
I've found I grow by leaps and bounds when I embrace this.