People forget the fall pretty fast. How you got back up is what sticks in their memory.

Failures are dramatic and briefly interesting, while recoveries are slow and permanently change how people regard you. What sticks is not the moment you came apart but what you did in the weeks afterward, because that part says something about character rather than luck. People are far less interested in your worst day than you fear. They remember the response.

Since the response is what lasts, put your effort there instead of into managing what anyone saw. Be consistent for longer than feels necessary. Reputation is built out of the recovery rather than the incident.