If you're hiding your dressing from your wife, you will get caught at some point. I did. If you're running around your own neighborhood dressed, you will get caught at some point.
You took a chance and you got caught. The chances are, this will get back to your wife at some point so you probably need to tell her about your dressing. You don't need to tell her about your neighbor seeing you, she may find out eventually, she may not, but if she does, you have it covered by having already told her about the dressing.
Best of luck, I hope it goes well for you.