stubbornly
US /ˈstʌb.ɚn.li/
UK /ˈstʌb.ɚn.li/

1.
obstinadamente, tercamente
in a determined way, especially by refusing to change your mind or be persuaded, even when it would be more sensible to do so
:
•
He stubbornly refused to admit he was wrong.
Se negó obstinadamente a admitir que estaba equivocado.
•
The old door stubbornly resisted all attempts to open it.
La vieja puerta se resistió obstinadamente a todos los intentos de abrirla.