NP, my opinion is I think your therapist is suggesting these things because he DOES care about you. He also knows his limits as a therapist and that he can't actually fix this situation in terms of what's going on in your household, or keep you physically safe, so he's trying to direct you to those who can to help you to be safe.
I do understand the feelings of rejection or feeling like you are too much for your T. I have sometimes had those kinds of feelings too. But I don't think it's the case here. In fact it's a sign that you have both a caring and a realistic and competent therapist, because he is aware of what he can help with but also of where his limits are.