“甘心接受的”可以翻译为 “willing to accept” 或 “ready to accept”，具体使用哪个表达可根据语境调整：
willing to accept：强调自愿、乐意接受的态度。
例句：She was willing to accept the challenges that came her way.（她甘心接受面临的挑战。）
ready to accept：侧重于做好准备、不抗拒地接受。
例句：He was ready to accept the consequences of his actions.（他甘心接受自己行为的后果。）
若需更强调“无怨无悔”的意味，也可用 “resigned to accepting”（虽含被动接受感，但语境合适时可用）：
例句：Despite the difficulties, he was resigned to accepting the new role.（尽管困难重重，他还是甘心接受了新职位。）
根据具体语境选择最贴切的翻译即可。