It s my fault she is gone
No it's not. You've imagined that you could have asked her to live with you, and that she would have agreed, and then that the doctors would have been better, and then that having better doctors would have kept her alive.
None of those things would necessarily have been true. She wouldn't have necessarily have agreed to stay with you, if she had, she wouldn't necessarily have had better doctors, and better doctors wouldn't have necessarily made any difference.
If she had come to live with you and some accident happened while she was moving, then you would have blamed yourself. You'd be saying, "If only I hadn't asked her to stay with me, she'd still be alive, it's all my fault". If she died despite having new doctors, then you'd also blame yourself the same way.
You're blaming yourself in response to the pain of losing her, and that's a common way for people to react, but it's not fair or accurate at all. The pain of losing her is making you see things in a distorted way. Please be gentle with yourself.
Hugs
