unruffle
/(ˌ)ʌnˈrʌfl/verb
1 [with object] To restore from a ruffled state; to free from folds, wrinkles, irregularities, etc.; to make still or settled.
2 [no object] To become unruffled; to become, or be made, smooth, regular, or even; to become still or settled.
3 [with object] To make (a person, the emotions, etc.) calm or tranquil; to ease or lighten (a situation).
4 [no object] To become calm or tranquil emotionally; to relax, settle down.
Origin
Early 17th century; earliest use found in James Mabbe (d.?1642), translator. From un- + ruffle.