Have no stomach for something
Definition 1 of 1
Pro Tip 1/3Negative Emotion
The phrase often implies a dislike or dread towards the activity, not just indifference. 
Even as a veteran detective, she had no stomach for examining crime scenes.
Pro Tip 2/3Strong Refusal
Using this phrase expresses a firm decision against doing something. 
He had no stomach for another team meeting after the last one dragged on for hours.
Pro Tip 3/3Personal Limit
It suggests a personal boundary or limit has been reached, not a challenge to be overcome. 
After the tumultuous sea voyage, she had no stomach for sailing again.