This is very exciting that you are getting this social skills coaching for your daughter. I think that it will help a lot.
We have my 10 year old going to a social skills class, and I think that's helping a bunch, but the one on one coaching could be GREAT! I would love to have that kind of individual attention for my son.
I look forward to hearing about how your daughter likes the coaching, and if you see that it's helping your daughter feel more comfortable in social situations.