Woolite is not good, nasty chemicals, soap is bad BUT detergent is perfect(Dawn). Hot water is OK, rubbing it when wet is the problem. Here is a link that I have followed for many years. Drying wool is a PIA but I usually do my wool sweaters at the end of the winter season. For wool Ts I use the washing machine and they do not hold up very well, lots of holes. I do not recommend using the machine My sweaters are many years old and look very good, the Ts are only 1-2 years old.
http://www.fuzzygalore.biz/articles/wash_sweater.shtml