The phrase "more bated" describes a sense of tension, nervousness or anxiety. Antonyms for this phrase would include words that indicate a sense of calm, peace or relaxation. Some possible antonyms could include terms like "unconcerned," "carefree," "relaxed," "calm," "serene," "unworried," or "unperturbed." Using these words, you could construct a sentence like: "After a long, hard day at work, she was grateful to be able to relax in a calm and serene environment, completely unworried about any of the problems that had been weighing on her mind earlier in the day.