"One morning he took the bull by the horns and set out to tell those he feared what his trouble had been. He found himself surprisingly well received, and learned that many knew of his drinking." (Chapter 11, Big Book)
I’m entitled, of course, to maintain anonymity personally as I see fit. There have been times I’ve been embarrassed about telling people I was in AA. I realise that, for the most part, although there are exceptions, such fears are groundless. I was never terribly bothered that people knew I drank and drank excessively. It would be odd, therefore, to be coy about sobriety now. It would be like a shoplifter fearing being spotted actually paying for something. Almost unfailingly, people respect the fact one is in AA. Those that don’t typically have little sense, judgement, or respect in any case and are not worth losing sleep over.