Here's what typical vestment for The Odomache looks like.
The pelt of the lion that was originally sacrificed and worn raw for her incarnation is retained throughout the years of service, preserved and fashioned into a headdress and cape (obscuring a helmet). This can get dreadfully hot in the summer but no one ever said that being a hollowed out pathway for God's spirit was easy.
The body is always obscured near completely, barring the hands, feet, and parts of the face (philosophically, these are the body's least vulnerable parts as its modes of Action, though this is in large part a practicality). This is partially a matter of psychological enforcement that this person is not Just a human, and partly a matter of protecting the part of God's living spirit that's in a wholly human body. Conceptually, the Odomache Enables tremendous power rather than being intrinsically powerful in of herself, so all manners of protecting the metaphysically vulnerable human body are of tantamount importance in her case.
The complete obscuring of any identifiable feminine form is also notably important to the underlying philosophies and biases involved. It is necessary that she is female, a condition ascribed a unique malleability to change and transformation (for good or harm), but the act of female/non-male sex and gender assignment also serves to uphold an underclass in a patriarchy that she By Necessity must be distanced from. This extends beyond the masculinized social and dress performance of Odonii to a masculinized social performance with dress that utterly obscures any part of the body that could be gendered, and dress that is not gendered in of itself (women do wear less revealing clothing than men and skirts of similar length, but the act of Fully covering the body in this form exists outside of the bounds of gendered dress).
[[It should be noted that on a historical level, this role is largely a descendant of a variety of 'celibate and/or masculinized female religious authority' figures in pre/proto-Wardi societies stretching back centuries, rather than an emergent property of contemporary religion and philosophy. This is an adaptation of older roles and worldviews to securely fit the contemporary zeitgeist, and that's part of why many aspects of this role Superficially clashes with said zeitgeist.]]
The relatively undecorated white cloak and robes in comparison to culturally favored displays of color and opulence further emphasizes a sense of the Odomache's separation from humanity. The Wardi image of God is not a human lord, but rather the world itself and the functions of the world distilled into the forms of animals. Human hierarchies exist Within God rather than God having a place within human hierarchies, so in this philosophy it's natural for this particular person of high authority to not closely resemble a Human Authority.
This is still ultimately a human body existing at the top end of a human hierarchy (and in the dimension of religious thought, it a human body holding aspects of God most specifically concerned with maintaining concepts of 'right' civilization and hierarchy), so public-facing garb like this will still include a few mundane trappings of lordship such as this fancy gold khattanocuy displaying an image of an enemy being trampled by the Face Odomache as the guardian lion. Purely ceremonial garb for the Odomache hides the body in its entirety beneath the white cloak and forgoes all decoration save for the obligatory weaponry.
A sword and dagger is worn at all times as a matter of being the ultimate physical bastion of her society's military might, and she is always accompanied by a retinue of 'lieutenants' (Extremely elite servants/squires) who carry whatever other elements of her perpetual armament are not currently in use. These weapons are Completely ceremonial in nature (to the point that they're made or plated with gold rather than anything like, durable) and there is absolutely zero expectation that the Odomache will ever directly engage in combat (the times this has happened historically have been when things have gone horribly wrong).
Her face is usually masked in public, though this is not a strict necessity of the role and is forgone for some ceremonial purposes. On these occasion, it's standard to paint the face red to still partly obscure human features in the same fashion of battlefield Odonii. As the color of blood, it positively evokes bodily vitality and strength, the living spirit of the world itself and the mode of connection to God (and will also be reminiscent of the rite of incarnation during which she is Actually covered in blood)