Antonyms for the phrase "chafe inwardly" would be words or phrases that indicate the opposite of feeling irritated or frustrated internally. Some possible antonyms might include expressions of contentment, such as "feeling at peace," "satisfied," or "calm." Words like "relaxed," "serene," or "composed" might also be relevant. Additionally, antonyms for the concept of chafing might include expressions like "accepting," "embracing," or "adapting to." In these cases, the opposite of chafing would be the ability to let go of frustration and accept a situation as it is, rather than feeling angry or upset about it.