If your clothes got wet on Shabbat, you can continue walking in them. You do not have to worry that people will suspect you of having washed your clothes on Shabbat. Neither are the Sages concerned that you may come to wring them dry, out of respect for human dignity. However, once you arrive at a safe place, you should take them off, and you can spread them in the sun to dry - but not in front of people.
If you bathe on Shabbat and dry yourself, you should not carry the towels back to your home, lest you squeeze them, even if you used ten towels. However, if there were ten people bathing, it would be the opposite: they could carry the towels back home, even if they all used the same towel. They will remind each other not to squeeze the towel.





