Bawdiness refers to behavior or language that is obscene, vulgar or sexually explicit. Antonyms for bawdiness would therefore be words that describe behavior or language that is tasteful or refined. Some possible antonyms for bawdiness include sophistication, elegance, propriety, tact, discretion, modesty, decorum, decency, chastity, and purity. Using these words would help to create a more polite and appropriate tone, and would be particularly useful in formal or professional settings where bawdy language would be considered inappropriate.