There's a huge difference between your teaching environment and a high school. In college it's primarily the student's responsibility to make sure that he knows the subject matter to pass the class. In high school the responsibility of educating falls on the school. You could fail every student in one of your classes and if you could document that every student did not know the minimums the chips fall where they may. If a public school teacher did that SHE would be at fault for not being able to get the material across to the students...and rightly so.
The teacher needs 100% control of the classroom, within reason, so that she can do her job.
How exactly does sending a girl out of the room educate her better than leaving her in situ. By the way, you can't force anyone to learn anything. Can't be done. If they don't want to learn it doesn't matter what you do, they won't.
Is anyone concerned about the student's behavior adversely impacting the other students?
How does coddling a misbehaving student enhance the learning environment?