Took me 5 yr (twice a week) to truly open up about my past to my T (who is great for me BTW)... so 4 months sound like nothing

. Guess I'm a bit extreme but still.
I would not use the word blame here. I guess you either are a good fit with your T or you aren't- no one's fault. Do you like your TT? Or do you think s.o. else might be a better fit for you? Talking about it with TT sounds like a great idea- better than talking about it with your LCM, I think.
Also, I think your "connection" (I just don't know how to put it better, sorry) with LCM is not stg I would compare your RS with TT with. Even she, your LCM, said she doesn't want to be your T (and do the hard stuff with you). Frankly, I'm not sure what does she want to do with you (she could be still helping you, I'm not saying she can't) but this is NOT how the vast majority of T-RS works/looks. So please, just make sure you're not comparing those two.