I know those feelings too well, both the jealousy and also feeling strongly attached quite fast, whenever I feel seen and/or understood...

I would say, definitely talk with your T about it. What you've written transports very comprehensibly and also eloquently how you feel. So reading this to your T or giving it to her to read might be a place to start. And I'm pretty sure that your T won't judge you for it.

So please, don't judge yourself for those feelings either. They might seem out of place or disproportionate - but they're there for a reason. My T keeps telling me this quite often, when my "emotional response" doesn't seem to fit the situation, it's either feelings from when I was very very young and/or those feelings correspond with some other situationn earlier in my life, that might have been similar, so it's some sort of triggered response, a kind of emotional flashback.

For me, this concept helps tremendously to make some sense of those emotions that quite often totally seem out of proportion, and it also helped me to deal with the self-judgement and shame that comes along with those emotions (for me).
Taking a closer look at those emotions (together with my T - so I'm not alone in this...) does help help me tremendously. Do those emotions go away instantly? Definitely not. But I'm learning to deal with them. I'm learning not to judge myself for having them. I'm learning to listen to those emotions and what they are trying to convey to my inner self, so that I'm able to look after the needs that they might be pointing towards.

Wishing you courage and strength! all the best, c_r