CEDICT
to have one's face flush with anger or agitation; to have one's face turn purple with rage; to appear angry or agitated
Wiktionary
面部、頸項紅脹。形容人發怒、急躁或情緒激動的樣子。如:「得饒人處且饒人,又何必鬧得臉紅脖子粗呢?」也作「粗脖子紅臉」。
重編國語辭典
classifier: 個