This is the 5646th most frequent Japanese word.
しみる
"しみる" means "to penetrate, soak in, or sting (due to sensitivity)."
In this sentence, 'しみる' is used to describe a stinging or penetrating sensation caused by a substance coming into contact with the eyes.
辛いスープが目にしみる。
The spicy soup stings my eyes.
Here, 'しみる' conveys a figurative sense of touching or penetrating deeply into one's emotions.
寒い日には、温かい飲み物が心にしみる。
On a cold day, a warm beverage touches my heart.
In this usage, 'しみる' illustrates the permeation of a physical sensation such as coldness through a medium, like wet shoes.