IPA: /ˈɒb.dʒʊr.ət.li/
KK: /ˈɑb.dʒə.rət.li/
In a way that shows stubbornness or refusal to change one's mind or actions.
She obdurately refused to apologize, even when it was clear she was wrong.
Obdurately → It is formed from "ob-" (meaning against) and "durare" (meaning to endure or harden). The word describes a manner of being stubbornly resistant or unyielding, as if hardened against change or persuasion.
Think of being 'against' ('ob-') change and 'hardening' ('durare') your stance — that's why obdurately means acting in a stubborn or unyielding way.