Yosef Karo, Translation:Shulchan Aruch — Orach Chaim 648…
“ However, if one sees that the skin and flesh don't remain in the puncture, it is invalid according to the first opinion even if it doesn't go straight through. In an emergency, one should be lenient according to the second opinion, allowing some to be missing if it is not the size of an issar and is not a piercing that goes through (his own opinion) . ”
