This is inappropriate, but it is a private matter. Since this is something that works in your relationship, and you aren't hurting anyone by it, you don't need to stop, but because it is private, you need to keep it covered in public. I suggest buying some nice dress scarves--not the heavy knit winter scarves. After my mother died I kept her dress scarves, along with a few I had bought on my own. I rarely need to dress up, but like being able to wear them on those occasions. I don't wear make-up or dresses/skirts, but have worn the scarves to job interviews. I think it helped some. They come in a wide variety of colors and patterns, and also a range of prices. You can buy nice looking cheap ones, or go for more expensive ones, like ones made of silk. They would make a dressy cover-up for your problem. You can either tie them in the usual way, or buy scarf clips to fasten them. I have one or two scarf clips, but haven't worn scarves in a long time, as I haven't had a dress up occasion in a long while. Maybe when I run errands in the fall or winter, I will try wearing dress scarves again, just for fun. I tend to get too hot easily, so I don't want anything close around my neck in the warmer weather. For casual, non dress public outings, you can buy bandannas to cover up.
Have fun picking out some new scarves.
_________________
If a man does not keep pace with his companions, perhaps it is because he hears a different drummer.
Let him step to the music which he hears, however measured, or far away.--Henry David Thoreau