Hey Secret Blossom!
Sorry this reply is kinda late :/ but I wanted to say that I relate really, really well with a bunch of things you said:
-feeling for others so deeply, having better feelings when alone, "closing off" at least a little bit for protection, mood swings, intuition
Also, I'm Christian, too But I would never tell anyone from Church (except my family) because you're right - there is a stigma. And while seeing ourselves as empaths is not necessarily contrary to religious beliefs, it can definitely be seen as contrary.. What I wanted to say is that I 100% agree with you that being an empath doesn't contradict my religion. It actually strengthens my beliefs.
And especially because of some seemingly lesser-recognized doctrine, that Christ also suffered in the garden of gethsemane for all of humanity, before His crucifixion and resurrection.
He felt all of the pain and trials and heartache of all of our lives at once and it caused Him to bleed at every pore. To me, this helps me understand the gifts we've been given (I see them as gifts, too), because I believe it's through Him that we are given these abilities. He knows how each of us feel at any given moment, perfectly, and it amazes me that He has entrusted us with a small fraction of this for others... <3
Anyway, I hope this might help.. Never forget you're not alone!