no stomach for, have - Phrases/Idioms
The American Heritage® Dictionary of Idioms by Christine Ammer. Copyright © 2003, 1997 by The Christine Ammer 1992 Trust. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.
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]