This is the 11494th most frequent Russian word.
доминирующую
"Dominating" or "dominant."
Here, "доминирующую" (dominating) is used as an adjective to describe a noun (feature) in accusative case.
Она обладает доминирующую черту в характере.
She possesses dominant trait in her character.
This usage of "доминирующую" is as an adjectival description of a noun (position) highlighting superiority.
В этой области они имеют доминирующую позицию.
In this field, they hold a dominant position.
"Доминирующую" describes the role, signifying its prominence in context.