I have always been a giver too, and when I was drinking, i really felt that those to whom I gave, were never grateful enough. Since doing my 4th step, I see that I was giving with expectations, and when those expectations were unfulfilled, I got a resentment. I was really "people pleasing" to make me feel better. I came to realise, that people only used me , because I let them.
Since I have been sober, I find that I still "give" to people, cos I care for them, not out of any self need, so because I dont expect anything back, I dont leave myself open to be hurt.
it is great that your friend has offered to take her, if thats what she wants to do, but it shouldnt affect YOUR friendship, you have a right to do what is right for YOU. If she is choosing not to talk to you, that is her problem, not yours.
Just be friendly when you see her, and it will all work out
HUGX
Lee