We could tell you purple or orange without any context!!!!

Post pictures of your furnishings.

If you want some meaningful advice/suggestions, you have to put in a bit more effort than providing the SW name of your off white walls and white trim. As Beverly commented above, context is everything.

If you truly want some help, you need to provide some context.

Only the theory.

Coordinating colors for Origami White SW are

1. Anew Gray

2. Spalding Gray

https://www.lowes.com/pd/Origin-21-6-x-9-Tan-Indoor-Abstract-Area-Rug/5014396009

Easy Color Formula (you can shop by this)

Look for rugs that include:

Ivory / cream (base)

Taupe / mushroom

Soft warm gray

https://www.wayfair.com/rugs/pdp/wade-logan-ayeln-abstract-hand-tufted-wool-dark-brownbeigegray-rug-w004745224.html