Yearning, do you know how amazing you are? You confronted this very awkward, painful subject with your Therapist despite knowing that her reaction might not be very good. That's a scary thing to do. I am nearly double your age and i'm not sure i could have done it. You are 18 years old and your understanding and reaction of what's going on shows a maturity than many people who are a few years older than you could take note from. I hope you can be proud of how you're tackling this.

To me, i think the problem isn't why you feel this way, or what your T stated re her boundaries but in her delivery of the information. I feel like she's being quite defensive and withholding. " I care about all my clients" is a B.S generic one size fits all statement that keeps her safe and keeps you at a distance. Whether that's right or wrong, or my stuff coming into it or not, that's how I experience it and probably how you are experiencing it.
And since it is YOUR therapy, it's your experience that matters, not your T's and if you are telling her you are experiencing a lack of personal care or warmth from her actions and her reactions to what you're saying then she is duty bound to be curious about that, to get in the trenches with you and see things from your perspective, to find out what's behind this need you have to be closer to her, to explore it all WITH you. Instead of making you feel like you're baring your soul to her thru a sanitised glass wall.

Would it really have killed her to have just said " yes, i care about you Yearning, i'm here WITH you thru this and we'll get thru it all together." ????? That would have been the human response. And then by explaining why she can't be there for you in the way you want in a gentle and compassionate manner she could still have upheld her boundaries but made you feel cared for and safe with her. Two birds, one stone.

Her reactions to this are truly crap. And i can see you trying to find a way to deny your own need so that you can stay with her and keep working with her and you are trying to take care of her feelings the same way you did with your mom when she'd push you away. This is so wrong. You are supposed to be the one whose needs are being met, the one who is taken care of not your T's. This issue has brought up a wealth of material that is really important and could really aid your healing process by being curious about how you are interpreting her and the needs it's bringing up for you and instead your therapist is stonewalling you and shaming you ( probably not her intention to shame you but nevertheless that's the effect she's having with her words). I feel really angry on your behalf.