I can sympathize a bit. My DIL tried to turn my DGD against me and also limiting the times we were able to see DGD and DGS . It was very hurtful and I shed many a tear. DGD, encouraged by DIL would say she was 'frightened' when she came into the room where I was, telling me how she loved her other grandma etc. But, I just tried to ignore the comments and thankfully now DGD often comes up to me and throws her arms around me saying 'I love you so much grandma'.
So, be patient ethelbags1, she will see you for what you are, a caring, loving grandmother. I, like you never thought it would happen - but it does - I PROMISE YOU!