Excellent choice — #7 of 31 Linen ranks #7 of 31 fabrics for odour resistance. It is one of the best fabrics for this. Ranked with a wool-family bonus plus breathability and moisture management. The top pick is Merino.
Linen measures 95/100 for breathability, 12% moisture regain, 15/100 warmth, at 180 gsm. Wool fibres lead here: Linen is not a wool fibre, so it leans on breathability alone.