It sounds like you were given a basic quiz that doctors and therapists use to determine if a person is at risk for depression, or may be experiencing depression. Those are available at just about every doctor's office.
You already seem to be getting help for depression, which is great. I don't know that the quiz will have any kind of impact on your treatment, but it doesn't hurt to fill it out honestly and then share it with your practioner.
I get were you are coming from with the form, and not wanting to make your therapist mad that you saw someone else, but i believe if your therapist is any good and you explain like how you did to us, that your therapist should deal and understand the situation just fine and maybe even work with you through your answers and could be a point of topic depending on if that's what you want.
My therapist thinks those quiz things aren't based on anything so i haven't filled them out but i know plenty of people who have and find them helpful, so I don't see why you shouldn't bring it up with your therapist.
Hope this helps
Thanks for your advice. I did not see another therapist, it was just my friend's therapist (diffrent from mine) who gave her the form to give to me, because my friend told her therapist that she was worried about me. I probably will mention the form to my doctor and therapist and share it with them only if they would like to see it.
There are a lot of forms available on the Internet that just ask how much/how often you have symptoms of depression. I would take it to my doctor. I fill out one at my pdoc's office every time I go in. The symptoms it has you rate are exactly the diagnostic criteria of depression. If you are interested there are many online quizzes for depression and bipolar online too.