Coral on deep, cool skin tones (Deep Winter)

The answer

No. Coral sits well outside the Deep Winter palette. The nearest thing in the palette is #F2F2F0, ΔE 34.5 away, which is one of the four neutrals the season is built on. 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 coral scores across all twelve seasons

Coral is an opinionated colour: Bright Spring scores it 92 and Deep Winter scores it 14. A gap that wide means the colour genuinely decides something, and getting it right is worth the effort.

Deep Winter sits 12 of twelve at 14, 78 points behind Bright Spring. That gap is the honest size of the compromise, not a verdict on the colour.

• Bright Spring: 92 (ΔE 3.2).
• True Spring: 91 (ΔE 3.7).
• Bright Winter: 69 (ΔE 12.3).
• Deep Winter: 14 (ΔE 34.5) <- this season.

What to wear instead

Nearest first. These are the colours in the Deep Winter palette that get closest to what you wanted from coral, so the substitution costs the least.

• #F2F2F0: very light, a white (ΔE 2.0).
• #7A1030: deep, a burgundy (ΔE 6.4).
• #6B0F2B: very deep, a burgundy (ΔE 3.8).