1. To lack the courage, determination, or resolve to do, face, or experience something unpleasant. Can also be phrased as "not have the stomach for something." The military always sounded interesting as a means of traveling the world, but I know I'd have no stomach for combat. I have no stomach for scary movies, but my girlfriend loves them.

2. To be unable to tolerate certain food(s). I love living in India, but having no stomach for spicy food makes every meal here rather difficult.