Discomposure, n.
1. The state of being discomposed; disturbance; disorder; agitation; perturbation. No discomposure stirred her features. Akenside.
2. Discordance; disagreement of parts. [Obs.] Boyle.
Shades of meaning
Fernald has no entry of its own for discomposure; he lists it under chagrin.
He lists it without comment; the entries above explain its neighbors.