Bathing is a private matter in life, but not in dreams. In dreams, people can wash as they want, regardless of the environment. They don't care much whether others can see it or not, and even want someone to see it, because bathing in a dream is a metaphor and symbol.
Men and women in dreams are symbols of sex. Maybe you feel embarrassed because subconsciously you don't want to live this life anymore, which symbolizes your determination to lead a clean life, turn over a new leaf and lead a clean life. Bathing is a psychological rebirth.
Dreaming that bathing is a good thing, don't worry too much, I don't know if my explanation can satisfy you.