Both by the name Orenda (also named Orenna/Urente/Iarenda) and the explanation of the concept, I felt this could be possibly related to Wralda (Uralda) and Wralda's spirit. Also the name "Orotalt", mentioned elsewhere on the forum, is a bit similar.Orenda /ˈɔːrɛndə/ is the Haudenosaunee name for a certain spiritual energy inherent in people and their environment. It is an "extraordinary invisible power believed by the Iroquois Native Americans to pervade in varying degrees in all animate and inanimate natural objects as a transmissible spiritual energy capable of being exerted according to the will of its possessor."[1][2] Orenda is a collective power of nature's energies through the living energy of all natural objects: animate and inanimate.[3]
Anthropologist J. N. B. Hewitt notes intrinsic similarities between the Haudenosaunee concept of orenda and that of the Siouxan wakan or mahopa; the Algonquin manitowi, and the pokunt of the Shoshone. Across the Iroquois tribes, the concept was referred to variously as orenna or karenna by the Mohawk, Cayuga, and Oneida; urente by the Tuscarora, and iarenda or orenda by the Huron.
Orenda is present in nature: storms are said to possess orenda. A strong connection exists between prayers and songs and orenda. Through song, a bird, a shaman, or a rabbit puts forth orenda.[4]
Source: https://en.wikipedia.org/wiki/Orenda
It's just a feeling, but the resemblance feels so close.
Could it be an echo of the Wralda worldview/philosophy that in a far past possibly was transmitted over the ocean to the indigenous Iroquis? It might also be just a coincidence.
Found also this nice picture of a traditional Haudenosaunee dancing costume.
Source picture: https://www.oneidaindiannation.com/haudenosaunee-dance