I think this is another way of telling her to prove she loves you by not letting you leave. I don't think most therapists think this is what they are to do. I don't believe in therapists loving clients (nor really clients loving therapists either other than as some fantasy ideal - not the actual person they are dealing with - I realize others may have different opinions - this is just mine). They may care to a certain extent, but it is a job. Clients come and go, and if one goes, they will probably have another take the slot. The therapist may realize they failed the client, they may not care, they may take no responsibility and blame the client, or they may shrug and go on with their life without giving it a second thought. The problem there is the client cannot know how the therapist internally responds to their leaving and therefore the client's umbrage or satisfaction from the therapist's response or imagined response is based upon speculation.
I wonder if the two of you could step away from this to come to a way to work together or take a break from her and try out some others and assess her approach against some others.