A compromise — #18 of 31 Silk ranks #18 of 31 fabrics for odour resistance. It is a middling fabric for this. Ranked with a wool-family bonus plus breathability and moisture management. The top pick is Merino.
Silk measures 60/100 for breathability, 11% moisture regain, 30/100 warmth, at 90 gsm. Wool fibres lead here: Silk is not a wool fibre, so it leans on breathability alone.