extremely determined to act in a particular way and not to change despite what anyone else says

The president remains obdurate on immigration. 总统在移民问题上依然固执己见。

used to describe a person who refuses to change their mind, or someone or something that is difficult to deal with or change

Union leaders remain obdurate that working conditions and pay improve. 工会领导坚持改善工作环境和加薪的要求。

Several obdurate facts/differences remain, preventing a compromise solution. 难以解决的事／不可调和的分歧依然存在，妨碍达成折中的方案。