:grouphug:That sounds rough, but (imo) a 7 y/old is way to young to be placed in charge of her education one way or the other.:grouphug:
In a ps or hs, she may need eyes on her with constant supervision and encouragement to keep on task for her lessons. It's hard, but moms often need eyes in the back of their heads.
Now really, she is young and could easily with supervision get her lessons done in a short time. If she does go to a ps, you will need to be involved with keeping her motivated and working in other ways. In all honesty, I wouldn't want ps to be a punishment...especially for one so young.
You had a bad day, everyone does. Search your heart and find the right solution either way.:grouphug: