Woolite is a brand of laundry detergent that was specially formulated for wool garments. Rumors have been circulating for a while that it’s actually too harsh to use on wool. It’s down to personal preference, but the bottom line is: the rumors aren’t true.
The PH level of Woolite, as well as many other delicate detergents, is seven (source). So it’s totally okay to use on wool and other delicate garments.