na-adjective, nari-adjective (archaic / formal)
prone to crying; tearful
Archaic na-adjective describing a person who cries easily or is often in tears. In modern Japanese, 涙もろい or 泣き虫 are more common.
彼女は涙勝ちな性質で、小さなことにもすぐ泣いてしまう。
She is of a tearful disposition, and quickly cries even at small things.