The modifying word you may be looking for could describe the source of the fleece used in the wool. Soft wool comes from baby alpacas, llamas and yaks. There may be other sources, depending on your definition of 'soft'.
Any fine wool can be used to fabricate a shawl: a lace weight or a finger weight would be the finest.
pangkuskos
The Tibetian goat grows the finest wool, called Cashmere.
Steel wool
wool feels like soft white stuff. and it looks like well wool
shawl
The shawl Athena wore is called a toga. ( pronunciation... toe gah )
Angora
A fine soft goat wool in 8 letters is Cashmere.
sheepskin is soft warm and durable
The wool feels soft.
The hair, fur, wool, or other soft covering of a mammal is called pelage.