I'm sorry you're struggling so much. It's so hard to pull yourself out of that place once you get stuck in it. The only thing that's ever worked for me is setting small, very small, reasonable goals and writing them down everyday or close to and then really working on reaching those small goals. Even if it starts with 1) get up out of bed 2) take a shower 3) work on job stuff or cleaning or something for 15 min. etc. Baby steps and eventually things get a little easier. I'm sorry your boyfriend isn't more important. My ex-fiancé and my entire family have the same general attitude regarding mental health issues, so I can definitely relate there.
One appt is pretty quick to make new diagnosis of bipolar disorder or psychotic depression or borderline personality disorder. Not saying don't go back or anything, but I'd be cautious if they try to immediately pin a diagnosis on you, unless you have a very obvious history of mania alternating with depressive episodes or something like that.
I've had therapists who behaved similarly before and for me it didn't work well, I need someone with a little more initiative. Family/child therapist or not, it sounds like it could just not be a good fit. I'd give it maybe another session and if things don't improve, start looking for someone else. Don't waste your time with someone who doesn't work. And I think 22 is old enough for an adult therapist, unless you have some specific issues they think would best be addressed with a child psychologist. Most medical professionals consider 17-21 "adolescents", but older than that are treated as adults.
Good luck. Hope your next appt goes well.