It seems your concern is how user messages passed to the model through your API key will reflect on you.
Profanity is not a concern as far as OpenAI goes, so unless you have your own moral imperative to prevent cursing, you’ll be fine if you just use the moderations endpoint to filter inappropriate messages.
If you’re doing that, then you’re covered as far as OpenAI is concerned, because you’re demonstrating a good-faith effort to prevent misuse of the models.
See: https://platform.openai.com/docs/guides/moderation
for details.