射止 いとめる
itomeru

Ichidan Verb

1. to shoot dead; to bring down (an animal)

Transitive
Ichidan Verb

2. to win (a prize, someone's heart, etc.); to make one's own

Transitive
かれには彼女 かのじょのハートを射止 いとめる見込 みこみはないだろう。
kareniwa kanojono hātō itomeru mikomiwanaidarō.
He will have no chance of winning her heart.