Whats the difference between stoics and a patient saint person?

Tldr: what is the term for someone who:

Is very patient, understanding and open to discussions and doesn't resort to harshness in the face of conflict but instead reacts with empathy and understanding, bridge-building, however also is able to feel their emotions and hold onto bonds and lets sad things effect them and doesn't shun them away or feel impervious to them? What is that really positive but sensitive person or way of life called? Like a healer sort of person?

Long form:

So this is for my own self improvement. Just talked to a mental health professional and she said what I meant about my view was stoicism. But I dont think that's true?

What I want is to be someone that is patient and understanding and lead with empathy first with the interactions of people I care about, but not judge or be aggressive with them in anyway. I want to be more 'saintly' if that makes sense. (Its for lack of a better word I dont know what else to call it so please help me here). I want to be a really good listener and very empathetic and help people in that way, be the supportive shoulder for them to cry on and be able to talk through disagreements in mature healthy ways and lead with understanding first.

What I dont agree with the stoic philosophy is to be seemingly impervious to negative events. I do NOT want to not let events bother me or be 'stoic'. I do want to feel my emotions in the face of tragic events and hold my values close. I don't personally agree with the idea that (and correct me if Im wrong) is more of a seemingly Buddhist idealogy with 'material things come and go, let them go' I dont want to be like that. It doesn't interest me.

My question is what is the term I'm looking for that. It seems she thought it was stoicism but after doing a bit of reasearch it doesnt seem to be so. Unless its some kind of varient? I need help, thank you all.