Adjective
1. having a fluffy character or appearance
2. confused and vague; used especially of thinking;
"muddleheaded ideas""your addled little brain""woolly thinking""woolly-headed ideas"3. covered with dense often matted or curly hairs;
"woolly lambs"4. covered with dense cottony hairs or hairlike filaments;
"the woolly aphid has a lanate coat resembling cotton"