no stomach for, have

Dislike, be unable to tolerate, as in Pat has no stomach for violent movies. This expression uses stomach in the sense of “appetite” or “relish for.” [Early 1700s]

The American Heritage® Idioms Dictionary Copyright © 2002, 2001, 1995 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company.