手負い is read as ておい (teoi) and means wounded.
ておい
teoi
ておいじし
cornered animal
あいてをまかす
to defeat one's opponent
まけとうしゅ
losing pitcher
まけとうしゅになる
to suffer a loss (usu. in sport)
ふかでをおう
to sustain a serious wound
てつだい
help
てあらい
hand-washing (laundry, etc.)
ていたい
severe
てっとりばやい
quick
てちがい
mistake
てぬぐい
(hand) towel
てばやい
nimble