Hi Kate123
Welcome to SR
I think it's always good to work out why we fell, just so that we can guard ourselves against doing it again....then we should draw a line under stuff and move on.
Beating yourself up does nothing - except maybe bring you down to a place where another drink sounds good.
You made a mistake - most of us have - learn from it, and get back to the task
As for telling others - you've told your husband...you're obviously an adult - who else you tell is up to you really.
If it were me, I'd think about whether it will be beneficial to your recovery or not to do so - use that as the benchmark.
Good to have you with us
D