Ok, she said she would give a referral, why don't you do a search yourself, maybe even make some calls too. Don't just settle for "I don't know if anyone is taking new patients right now".
Also, see if there are any DBT groups that are meeting around your area too. If you do a search in your area, you may just come up with something ok?
Who diagnosed the Depression?
Sometimes people with Depression, if that is what you struggle with are passive/agressive and that is why I suggested the DBT as that can help you be more assertive and learn how to pull back so the discussions with your boyfriend don't get so heated.
NEVER, feed into the "everyone would probably be better off without me thoughts" ok?
You can certainly learn how to do better with relationships, hey, we all have to LEARN about that, and even reach out for help sometimes too. You are still so young yet, do not beat yourself up ok?
You could also go to the library and see what books are there about "developing healthy relationships", may even be books about DBT as well. It never hurts to visit the library and get a card and explore.