I suggest you rinse with clean water, the water temperature is below 35 degrees, and be careful not to overflow the scarf. Then gently rinse with flexible washing liquid or special detergent for wool, and be careful not to rub. Squeeze and wash, avoid wringing, squeeze and dehydrate, dry in shade or hang in shade, wet setting or semi-dry setting can remove wrinkles.
Folding it flat, hanging it or rolling it can prevent the wool scarf from wrinkling.
Wool must be ironed at low temperature. The hotter the weather, the more wrinkled it may be because of the high temperature. You can iron it with steam or iron or send it to the dry cleaner. Someone will take care of it.