Final answer:
Offer water or non-alcoholic alternatives to a patron who is red but shows no signs of intoxication, while continuing to monitor them for any further signs of intoxication.
Step-by-step explanation:
If your patron's skin is red but shows no signs of intoxication, the best course of action would be to C) Offer water or non-alcoholic alternatives. This approach is both responsible and caring, as it ensures that the patron stays hydrated and might prevent overconsumption of alcohol without having to make a potentially unnecessary decision to cut them off. While their skin color could be an indicator of the beginnings of intoxication, absence of other signs means it's premature to cease alcohol service or alert security. However, it is important to continue monitoring them for any further signs of intoxication.