When we say someone has "a stomach for" something, we usually mean that they have the ability or courage to handle a difficult or unpleasant situation. However, there are many antonyms for this phrase, including "no taste for," "no inclination for," "no desire for," "no tolerance for," and "no aptitude for." Each of these antonyms suggests a different type of limitation or weakness, such as a lack of interest, skill, or endurance. Without "a stomach for" something, a person may be unwilling or unable to face the challenges it presents, and may need to seek help or alternative solutions.