Antonyms for the phrase "risk assuming" would entail terms indicating a lack of willingness to take risks or engage in risky behaviors. Such terms may include "cautious," "prudent," "safe," "careful," "conservative," "timid," "reserved," "unadventurous," "shy," "wary," "hesitant," "afraid," or "risk-averse." In contrast to risk-taking or risk-assuming, these expressions indicate a preference for stability, security, or predictability, which may involve avoiding harms or losses. Such language is often associated with risk management or risk mitigation strategies, where the aim is to minimize or eliminate exposure to potential risks and uncertainties.