The times I have worn in Public there were really two things on my mind that, 1). Can they see my diaper poking out of my clothes? 2). Am I standing/Walking weird.
The first problem is an easy fix, I simply wear boxers over my diaper and make sure the elastic on them is over the end of the diaper, that way if shirt or something did reveal my behind or somewhere they would first see my boxers.
The second one I have yet to really fix, as when I wear in public my left leg tends to become strained faster than a normal day without diapers. This could be various reasons, diaper is too tight, it isn't on properly, list goes on. Relaxing is really key and put yourself in the mind that you don't have a diaper on, which helps bring out the confidence that you are not wearing a diaper, then when you can get a bit of time to yourself think about how you are wearing a diaper and no one knows, at least for me that brings me joy.
Worse case scenario is; Someone finds out. In that instance it would depend on who is around you, if it is complete strangers and people you may never see again, WHO CARES?! they may sit down at the dinner table bring it up once for a conversation piece and that will be the history of it. So for that instance put it in your head that no one really cares.
If it is co-workers, then it really depends on their attitude toward things, I have joked around and talked to my co-workers about the idea of ABDL. While on the subject of Kinks and Fetish, I brought it up like "Can you believe that?" I then gauge their reaction to it. Surprise! - (sarcasm), it was on the negative scope, at the same time I felt should they find out, they really won't care and may tease me about it a later date.
Depending on where you live may also matter, I live in a community that just wants to relax and get through another day, I highly doubt that should I be found out I won't see rioters on my lawn wanting me out. People around you may have a new outlook on you maybe negative maybe confused, but the best you can do is simply buckle down, man up and show your confidence that you are still who you are regardless of your little secret.
Hell! LIE ABOUT IT if you get found out "I have been wearing diapers around you guys for years and I was just a little sloppy in hiding it this time! I am still who I am and will continue to be so!"
TL;DR Confidence is Key!