All perfect praise be to Allaah, The Lord of the Worlds. I testify that there is none worthy of worship except Allaah, and that Muhammad is His slave and Messenger.
It is not permissible for a man to treat a non-Mahram woman in the manner which you mentioned in the question unless there is no woman to do this and there is a dire need for this treatment. Similarly, it is not permissible for a man to go to a non-Mahram woman to be treated by her as long as it is possible for him to be treated by a man.
Allaah Knows best.