Mistakes get made all the time in life: many are relatively minor, others are more catastrophic, some are obvious to only ourselves, then there's the ones that everyone knows about.
Mistakes can be a catalyst to create an opportunity for growth, humility, education, empowerment through discovery and motivating of change.
Mistakes can also be disheartening, dangerous, drama provoking, damaging to self and others, expensive and the cause of much angst for all parties involved.
One's perception of an issue can by clouded by personal and/or professional conflict and not representative of how serious the digression really is.
No matter which side of the coin your mistake lands you on, in the end what matters most is how you have chosen to remedy the situation.
Owning the fact that there is an issue that needs tending to and investigating it, is usually the biggest hurdle. From there it takes humility and a sincere desire towards positive resolution to move forth with an action plan.
There is nothing more harmful (to a reputation) than a person knowing there is a problem, albeit a massive one, and watching them conveniently try to sweep it under the rug when they think no one is observing their antics.
It's like the elephant in the room, we all know it's there and the responsibility falls to you to clean up after it.