I'm sorry the second therapist was so dismissive.
I agree that a person can still outwardly function while being depressed. I worked 3 jobs (one f/t & 2 p/t) & took care of my family. I was so depressed I attempted suicide, was hospitalized, but went back to working the same day I was released... Sometimes outward functioning can be deceptive.
If you can, maybe find a therapist who is not so superficial around the symptoms, and just work on getting better (as Leah123 suggested). You deserve the support, and to be happier.
Sending much <3