Since the LPN is working 'with" you, and you're in charge of the team, then YOU should have the say over how the pts. are assigned on YOUR team! Yes the LPN is working under her own license... BUT
every LPN works under the direction of a RN, MD or Dentist...depending on the state the LPN works in.
You're responsible for seeing that the LPN performs the duties assigned in a skillful manner, and should be aware of what that LPN is capable of, and the limits of their practice, assigning them only what skills and duties which fall within these limits. They are responsible for the errors they make in the process of performing those duties that fall within the those limits.
But YOU are the one in charge of making the assignment, as the LPN is working under your directions. I think your CN is a whuz..as she just didn't want to deal with this person, so she pushes it back on you. Or she wants you to take the charge and stand up for yourself with this person!
If this LPN refuses to take your direction, then she is wrong, and I would take it up with your NM! I would also refused to work with this person until things are taken care of to your satisfaction. I'm a strong LP/VN and I believe that LPNs should have a say in assignments, but not the WHOLE say. When I work with an RN...I'm there to ASSIST her as a part of the team, and I will try to work WITH that RN.
But I also refused to be taken advantage of! Maybe she is feeling that she was getting too many of the diffiuclt pts, and she is trying to make sure this doesn't happen again. But this is something you both need to discuss and come to an agreement with. But YOU should also let this LPN know YOU are in charge of the team, and if she doesn't like the assignments, she/he can discuss it with you....but you will make the final decisions...and make a fair assignment.
There is NO way I would accept having my pts changed, after having them for several days. It's not good for the pt., and not condusive to giving good continuation of care! And what is best for the pt. ...should be the first concern...no matter who is who!