A solid choice — #15 of 31 Cotton ranks #15 of 31 fabrics for odour resistance. It is a good fabric for this. Ranked with a wool-family bonus plus breathability and moisture management. The top pick is Merino.
Cotton measures 75/100 for breathability, 8% moisture regain, 35/100 warmth, at 160 gsm. Wool fibres lead here: Cotton is not a wool fibre, so it leans on breathability alone.