Rust on neutral-cool, muted skin tones (Soft Summer)

The answer

No. Rust sits well outside the Soft Summer palette. The nearest thing in the palette is #9E8C84, ΔE 26.8 away. Under 12 reads as the same colour family; past 25 the two are visibly different colours.

It does not collide with anything on the season's avoid list, so the only question is distance.

How rust scores across all twelve seasons

Rust is an opinionated colour: True Autumn scores it 88 and Light Summer scores it 0. A gap that wide means the colour genuinely decides something, and getting it right is worth the effort.

Soft Summer sits 9 of twelve at 33, 55 points behind True Autumn. That gap is the honest size of the compromise, not a verdict on the colour.

• True Autumn: 88 (ΔE 5.0).
• Deep Autumn: 87 (ΔE 5.1).
• True Spring: 71 (ΔE 11.8).
• Soft Summer: 33 (ΔE 26.8) <- this season.
• Light Summer: 0 (ΔE 34.4).

What to wear instead

Nearest first. These are the colours in the Soft Summer palette that get closest to what you wanted from rust, so the substitution costs the least.

• #9E8C84: mid-tone, a grey (ΔE 9.2).
• #7D7B76: mid-tone, a grey (ΔE 11.2).
• #4F4E4A: deep, a charcoal (ΔE 8.8).