1
general::
Also, can't abide or bear or stomach. Thoroughly dislike; be unable to put up with something or someone. For example, I can't stand the sight of her; she's obnoxious, or I can't bear to leave the country, or I can't stomach a filthy kitchen. The oldest of these synonymous expressions is can't abide, which Shakespeare used in 2 Henry IV (3:2): "She could not abide Master Shallow." Can't stand dates from the early 1600s; can't bear dates from about 1700 and often but not always is used with an infinitive; can't stomach dates from the late 1600s and today is less common than the others.
American Heritage Idioms
2
general::
Phrase(s): can’t stand (the sight of) someone or something [and] can’t stomach someone or something
Fig. [to be] unable to tolerate someone or something; disliking someone or something extremely. (Also with cannot.) • I can’t stand the sight of cooked carrots. • Mr. Jones can’t stomach the sight of blood. • None of us can stand this place. • Nobody can stand Tom when he smokes a cigar.
McGrawhill's American Idioms And Phrasal Verbs