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If you decide to walk around in the nude, then just do it.
I was hiking in Clearwater National Forest (pic related) once and on my way back from this mountain, I passed by a few hot springs.
A horse trail paralleled the foot path from the trailhead to that point. A guy in the nude was hiding behind a tree on the horse trail as I went by. I don't know what he would have done if I had been a few minutes slower and he had made it to a spring by the time I passed him.
It's cool if you're embarrassed about it. If so, don't walk in the nude. If you aren't wearing clothes, people are probably going to see you not wearing clothes.