Final answer:
The phrase 'back away from danger' in the provided text can be replaced with the idiom 'face the music,' as it implies confronting a difficult or risky situation directly.
Step-by-step explanation:
The idiom "face the music" means to confront the reality of a situation, especially one with unpleasant or negative consequences. It suggests dealing with the truth rather than avoiding it. Looking at the provided examples, the phrase that can be replaced with the idiom "face the music" is 'I won't place myself at risk-I'm not too proud to back away from danger' from the text provided. This phrase matches the meaning of the idiom because it implies the speaker is willing to confront a difficult or risky situation directly rather than avoiding it, which aligns with the concept of 'facing the music.'