Origin of craw
Word Origin for craw
Old English *cræg "throat," a Germanic word (e.g. Middle Dutch craghe "neck, throat," Old High German chrago, German Kragen "collar, neck"), of obscure origin.
stick in one's craw
Also, stick in one's throat.
Be unable to say something, as in I meant to apologize but the words stuck in my craw. [Early 1600s]
Be so offensive that one can't tolerate it, as in That obscene art exhibit stuck in my throat. [Late 1600s]
see stick in one's craw.