Sherwin Williams Rhinestone is a nice cool gray that feels sophisticated yet not a cream color. SW pairs it with Extra White. Here the walls are Rhinestone and the trim and fireplace are Extra White from the Sherwin Williams site.

Some photos from blogs.

Thank you. Im afraid it may be too gray. Im new on here, so not sure of what to do.

This has more blue in it and 62 is the perfect LRV for a wall color.

Floors are reddish & warm, so probably
some kind of warm white rather than gray or blue, which also don’t seem as nature-y to me, except of course blue, if you want to add other colors. Another thought is a vey pale green, not a mint but warmer, but light. Tones down reddish floors.

I haven’t focused enough on your upholstery colors, as to undertones.
Also, if you know your current trim color, and would like to avoid painting it, then you could search for which colors work with it. Such as, specific warm or off- whites or pale greens that are warmer than a cool white but give enough contrast to look intentional.

A very nice green is Benjamin Moore Heallng Aloe and can be easily cut by 50% to lighten it even more. Goes with earth tones and natural tones.