💡 Detailed Explanation
"～がたい" (gatai) is attached to the stem of a verb to express that something is difficult to do, often due to psychological or emotional reasons. Here, it's emotionally difficult to refuse his request. "～かねない" means there's a possibility of a negative outcome. "～ようがない" means there's no way/method to do something. "～きれない" means something cannot be completely finished.