As a teacher myself, I understand where she was coming from. I've dealt with students who are unkempt, smell bad, are dirty, etc. Generally speaking, though, we handle such kids by talking to the nurse. The nurse will then speak to the child and, if needed, call the parents at home.
What we don't know is whether or not the teacher tried this. She is a veteran teacher, it seems like standard practice would be to go through the building nurse. If she had done that and nothing was done, I could understand possibly taking the step of sending a letter home to the parents.
Of course, sending one home with all those incorrect uses of language doesn't win her any points...
Hi, Shirley Temple Pudding.