I think your therapist is showing some wisdom. "Therapists" are not doctors and are not really qualified to be handing out diagnoses. At least that's the opinion of the U.S. federal government, which requires a psychiatrist to diagnose as a basis for claiming Social Security Disability income. I take it that this therapist is not the one prescribing your SSRI. That med would be coming from a doctor. You have a right to get a diagnosis from your MD who prescribes for you.

A therapist's job is to help you learn to cope better with the challenges of living. You really don't need a practitioner to diagnose you as "having depression" in order to know that you are depressed. Obviously, the SSRI was prescribed in hopes it would help you feel less depressed.

Lately, even many psychiatrists are recognizing that psych "diagnoses" are often little more than "circular thinking." To tell someone that "You are depressed because you suffer from depression." doesn't really tell you anything, does it? The important question is, "What can you do about it?" That is the therapist's job to help you figure out.

Generally, people are unhappy because they have an approach to life that isn't working for them. Unfortunately, no one wants to hear that. We tend to want to hear that we have a "chemical imbalance of the brain" or that "my amygdala isn't working right, due to all the stress I've been subjected to." Thinking about that kind of stuff will get you nowhere, IMO.

Your therapist wants you to focus on what you can do different from what you've been doing, so you can have a better life, so you will be a happier person. Go ahead and read up on depression and watch YouTube videos about depression, so you will gain some general insight, if that interests you. In therapy, however, focus on what behavior you can change. That is really the only power you have to change how you feel.