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、颈项红胀。形容人发怒、急躁或情绪激动的样子。如:「得饶人处且饶人,又何必闹得脸红脖子粗呢?」也作「粗脖子红脸」。
重編國語辭典
classifier: 個