Not for me. The idea of paying someone without a buffer of a third party did not bother me and I greatly dislike the idea of dealing with office staff of any sort at a therapist's office. I like the idea they have to handle that themselves as I believe it helps keep it in the realm of a business transaction.
Paying only bothered me because of tossing money to someone who had done nothing to earn it except sit there.
Both of the women would have billed me, but I preferred to keep it on an appointment by appointment basis. That way I would not have to deal with them again after I quit.