M.R.
This is a classic sign of strep infection when it presents without the typical sore throat. I would take her to the doctor IMMEDIATELY and get the rapid test PLUS a 72 hour culture (that is the gold standard.) Rapids often give a false negative, especially if she is particularly sensitive to strep.
For more information on atypical strep presentation (PANDAS) you can contact me or see this page:
http://www.webpediatrics.com/pandas.html (Scroll down to the green box)
If strep tests come back negative, I would also do a test for UTI.
It's possible that she had a negative experience in class too, but if she's clingy at home too, that is probably not the case.