No, no no no!

The fee is for the therapists time and skills. The fee does not buy the therapists heart. The therapist retains her/his heart unless she/he decides to gift it to you free of charge.

There is such a thing as gifts. It is completely understandable to get confused about this because too many "gifts" come with strings attached. Just because some of the gifts you have received came with strings attached does not make all gifts the same. I have been thinking that the greatest gift we can give to another person is our presence combined with that natural human desire scientists label "tend/befriend". Has your therapist ever had one moment where they cared about you? If so then they have given you a gift. Also it is such a basic gift that empowers both parties in the giving.