1. In a manner that deviates from what is standard, traditional, or widely accepted; unconventionally
He approached the problem unorthodoxly, rejecting conventional wisdom.
Ele abordou o problema de forma não ortodoxa, rejeitando a sabedoria convencional.
2. In a way that is considered unusual or nonconforming to established norms or beliefs
She dressed unorthodoxly for the formal event, wearing a bold avant-garde outfit.
Ela se vestiu de forma não ortodoxa para o evento formal, usando uma roupa ousada de vanguarda.