to ooze out; to seep
to show through (of emotions, etc.); to reveal itself
「滲み出す」 has another reading with different meanings.
to ooze (out); to seep
to exude (e.g. sweat); to ooze; to seep out
傷口から血が滲み出した。
Blood oozed from the wound.
彼の優しさが滲み出ている。
His kindness shows through.
汗が額から滲み出していた。
Sweat was seeping from his forehead.