i think that may be 'dihargai' - to be valued, to be appreciated, to be esteemed.
'dinilai' appears to be the actual action of making that evaluation or judgement of value or worth.
I think "considered / measured / estimated" is ok, not sure about the important part though
nilai is more like a rank or rating. Like grades in school, or, in this case, scores for a judged competition like gymnastics.
I heard kids saying stuff like "Saya dapat nilai jelek di rapor saya" when they got a bad grade in school.